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Finding the Fourth Proportional to 125,913.74, 188,870.70 and 120,447.14

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Solution

The fourth proportional to 125,913.74, 188,870.70 and 120,447.14 is: 180,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,913.74 : 188,870.70 = 120,447.14 : x
  2. Step 2: Convert to fraction form
    125,913.74/188,870.70 = 120,447.14/x
  3. Step 3: Cross multiply
    125,913.74x = 188,870.70 × 120,447.14
  4. Step 4: Simplify right side
    125,913.74x = 22,748,935,644.80
  5. Step 5: Solve for x
    x = 22,748,935,644.80/125,913.74
  6. Step 6: Final answer
    x = 180,670.80

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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.