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Finding the Fourth Proportional to 125,597.22, 173,281.28 and 77,833.14

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Solution

The fourth proportional to 125,597.22, 173,281.28 and 77,833.14 is: 107,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,597.22 : 173,281.28 = 77,833.14 : x
  2. Step 2: Convert to fraction form
    125,597.22/173,281.28 = 77,833.14/x
  3. Step 3: Cross multiply
    125,597.22x = 173,281.28 × 77,833.14
  4. Step 4: Simplify right side
    125,597.22x = 13,487,026,125.62
  5. Step 5: Solve for x
    x = 13,487,026,125.62/125,597.22
  6. Step 6: Final answer
    x = 107,383.16

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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.