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Finding the Fourth Proportional to 125,209.84, 187,812.02 and 30,440.52

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Solution

The fourth proportional to 125,209.84, 187,812.02 and 30,440.52 is: 45,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,209.84 : 187,812.02 = 30,440.52 : x
  2. Step 2: Convert to fraction form
    125,209.84/187,812.02 = 30,440.52/x
  3. Step 3: Cross multiply
    125,209.84x = 187,812.02 × 30,440.52
  4. Step 4: Simplify right side
    125,209.84x = 5,717,095,551.05
  5. Step 5: Solve for x
    x = 5,717,095,551.05/125,209.84
  6. Step 6: Final answer
    x = 45,660.11

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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.