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Finding the Fourth Proportional to 144,086.40, 201,254.40 and 144,086.40

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Solution

The fourth proportional to 144,086.40, 201,254.40 and 144,086.40 is: 201,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,086.40 : 201,254.40 = 144,086.40 : x
  2. Step 2: Convert to fraction form
    144,086.40/201,254.40 = 144,086.40/x
  3. Step 3: Cross multiply
    144,086.40x = 201,254.40 × 144,086.40
  4. Step 4: Simplify right side
    144,086.40x = 28,998,021,980.16
  5. Step 5: Solve for x
    x = 28,998,021,980.16/144,086.40
  6. Step 6: Final answer
    x = 201,254.40

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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.