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Finding the Fourth Proportional to 359,102.49, 538,670.13 and 134,404.64

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Solution

The fourth proportional to 359,102.49, 538,670.13 and 134,404.64 is: 201,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,102.49 : 538,670.13 = 134,404.64 : x
  2. Step 2: Convert to fraction form
    359,102.49/538,670.13 = 134,404.64/x
  3. Step 3: Cross multiply
    359,102.49x = 538,670.13 × 134,404.64
  4. Step 4: Simplify right side
    359,102.49x = 72,399,764,901.40
  5. Step 5: Solve for x
    x = 72,399,764,901.40/359,102.49
  6. Step 6: Final answer
    x = 201,613.10

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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.