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Finding the Fourth Proportional to 164,905.40, 231,567.40 and 164,905.40

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Solution

The fourth proportional to 164,905.40, 231,567.40 and 164,905.40 is: 231,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,905.40 : 231,567.40 = 164,905.40 : x
  2. Step 2: Convert to fraction form
    164,905.40/231,567.40 = 164,905.40/x
  3. Step 3: Cross multiply
    164,905.40x = 231,567.40 × 164,905.40
  4. Step 4: Simplify right side
    164,905.40x = 38,186,714,723.96
  5. Step 5: Solve for x
    x = 38,186,714,723.96/164,905.40
  6. Step 6: Final answer
    x = 231,567.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.