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Finding the Fourth Proportional to 125,851.92, 188,894.56 and 63,566.16

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Solution

The fourth proportional to 125,851.92, 188,894.56 and 63,566.16 is: 95,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,851.92 : 188,894.56 = 63,566.16 : x
  2. Step 2: Convert to fraction form
    125,851.92/188,894.56 = 63,566.16/x
  3. Step 3: Cross multiply
    125,851.92x = 188,894.56 × 63,566.16
  4. Step 4: Simplify right side
    125,851.92x = 12,007,301,824.09
  5. Step 5: Solve for x
    x = 12,007,301,824.09/125,851.92
  6. Step 6: Final answer
    x = 95,408.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.