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Finding the Fourth Proportional to 359,084.95, 538,442.87 and 106,333.71

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Solution

The fourth proportional to 359,084.95, 538,442.87 and 106,333.71 is: 159,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,084.95 : 538,442.87 = 106,333.71 : x
  2. Step 2: Convert to fraction form
    359,084.95/538,442.87 = 106,333.71/x
  3. Step 3: Cross multiply
    359,084.95x = 538,442.87 × 106,333.71
  4. Step 4: Simplify right side
    359,084.95x = 57,254,626,032.68
  5. Step 5: Solve for x
    x = 57,254,626,032.68/359,084.95
  6. Step 6: Final answer
    x = 159,445.91

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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.