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Finding the Fourth Proportional to 164,915.10, 231,347.70 and 164,915.10

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Solution

The fourth proportional to 164,915.10, 231,347.70 and 164,915.10 is: 231,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,915.10 : 231,347.70 = 164,915.10 : x
  2. Step 2: Convert to fraction form
    164,915.10/231,347.70 = 164,915.10/x
  3. Step 3: Cross multiply
    164,915.10x = 231,347.70 × 164,915.10
  4. Step 4: Simplify right side
    164,915.10x = 38,152,729,080.27
  5. Step 5: Solve for x
    x = 38,152,729,080.27/164,915.10
  6. Step 6: Final answer
    x = 231,347.70

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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.