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Finding the Fourth Proportional to 188,792.78, 260,538.90 and 102,757.40

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Solution

The fourth proportional to 188,792.78, 260,538.90 and 102,757.40 is: 141,807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,792.78 : 260,538.90 = 102,757.40 : x
  2. Step 2: Convert to fraction form
    188,792.78/260,538.90 = 102,757.40/x
  3. Step 3: Cross multiply
    188,792.78x = 260,538.90 × 102,757.40
  4. Step 4: Simplify right side
    188,792.78x = 26,772,299,962.86
  5. Step 5: Solve for x
    x = 26,772,299,962.86/188,792.78
  6. Step 6: Final answer
    x = 141,807.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.