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Finding the Fourth Proportional to 125,597.16, 188,411.22 and 41,335.74

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Solution

The fourth proportional to 125,597.16, 188,411.22 and 41,335.74 is: 62,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,597.16 : 188,411.22 = 41,335.74 : x
  2. Step 2: Convert to fraction form
    125,597.16/188,411.22 = 41,335.74/x
  3. Step 3: Cross multiply
    125,597.16x = 188,411.22 × 41,335.74
  4. Step 4: Simplify right side
    125,597.16x = 7,788,117,203.00
  5. Step 5: Solve for x
    x = 7,788,117,203.00/125,597.16
  6. Step 6: Final answer
    x = 62,008.70

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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.