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Finding the Fourth Proportional to 155,266.38, 232,948.80 and 55,424.43

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Solution

The fourth proportional to 155,266.38, 232,948.80 and 55,424.43 is: 83,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,266.38 : 232,948.80 = 55,424.43 : x
  2. Step 2: Convert to fraction form
    155,266.38/232,948.80 = 55,424.43/x
  3. Step 3: Cross multiply
    155,266.38x = 232,948.80 × 55,424.43
  4. Step 4: Simplify right side
    155,266.38x = 12,911,054,459.18
  5. Step 5: Solve for x
    x = 12,911,054,459.18/155,266.38
  6. Step 6: Final answer
    x = 83,154.22

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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.