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Finding the Fourth Proportional to 157,084.40, 219,451.60 and 157,084.40

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Solution

The fourth proportional to 157,084.40, 219,451.60 and 157,084.40 is: 219,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,084.40 : 219,451.60 = 157,084.40 : x
  2. Step 2: Convert to fraction form
    157,084.40/219,451.60 = 157,084.40/x
  3. Step 3: Cross multiply
    157,084.40x = 219,451.60 × 157,084.40
  4. Step 4: Simplify right side
    157,084.40x = 34,472,422,915.04
  5. Step 5: Solve for x
    x = 34,472,422,915.04/157,084.40
  6. Step 6: Final answer
    x = 219,451.60

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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.