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Finding the Fourth Proportional to 359,243.62, 538,907.13 and 119,378.93

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Solution

The fourth proportional to 359,243.62, 538,907.13 and 119,378.93 is: 179,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,243.62 : 538,907.13 = 119,378.93 : x
  2. Step 2: Convert to fraction form
    359,243.62/538,907.13 = 119,378.93/x
  3. Step 3: Cross multiply
    359,243.62x = 538,907.13 × 119,378.93
  4. Step 4: Simplify right side
    359,243.62x = 64,334,156,943.14
  5. Step 5: Solve for x
    x = 64,334,156,943.14/359,243.62
  6. Step 6: Final answer
    x = 179,082.25

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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.