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Finding the Fourth Proportional to 125,103.76, 187,674.81 and 42,017.20

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Solution

The fourth proportional to 125,103.76, 187,674.81 and 42,017.20 is: 63,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,103.76 : 187,674.81 = 42,017.20 : x
  2. Step 2: Convert to fraction form
    125,103.76/187,674.81 = 42,017.20/x
  3. Step 3: Cross multiply
    125,103.76x = 187,674.81 × 42,017.20
  4. Step 4: Simplify right side
    125,103.76x = 7,885,570,026.73
  5. Step 5: Solve for x
    x = 7,885,570,026.73/125,103.76
  6. Step 6: Final answer
    x = 63,032.24

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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.