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Finding the Fourth Proportional to 232,802.20, 349,154.70 and 99,686.80

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Solution

The fourth proportional to 232,802.20, 349,154.70 and 99,686.80 is: 149,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,802.20 : 349,154.70 = 99,686.80 : x
  2. Step 2: Convert to fraction form
    232,802.20/349,154.70 = 99,686.80/x
  3. Step 3: Cross multiply
    232,802.20x = 349,154.70 × 99,686.80
  4. Step 4: Simplify right side
    232,802.20x = 34,806,114,747.96
  5. Step 5: Solve for x
    x = 34,806,114,747.96/232,802.20
  6. Step 6: Final answer
    x = 149,509.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.