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Finding the Fourth Proportional to 359,234, 538,872.60 and 109,918.16

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Solution

The fourth proportional to 359,234, 538,872.60 and 109,918.16 is: 164,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,234 : 538,872.60 = 109,918.16 : x
  2. Step 2: Convert to fraction form
    359,234/538,872.60 = 109,918.16/x
  3. Step 3: Cross multiply
    359,234x = 538,872.60 × 109,918.16
  4. Step 4: Simplify right side
    359,234x = 59,231,884,666.42
  5. Step 5: Solve for x
    x = 59,231,884,666.42/359,234
  6. Step 6: Final answer
    x = 164,883.85

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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.