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Finding the Fourth Proportional to 359,188.87, 538,627.16 and 102,965.01

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Solution

The fourth proportional to 359,188.87, 538,627.16 and 102,965.01 is: 154,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,188.87 : 538,627.16 = 102,965.01 : x
  2. Step 2: Convert to fraction form
    359,188.87/538,627.16 = 102,965.01/x
  3. Step 3: Cross multiply
    359,188.87x = 538,627.16 × 102,965.01
  4. Step 4: Simplify right side
    359,188.87x = 55,459,752,420.70
  5. Step 5: Solve for x
    x = 55,459,752,420.70/359,188.87
  6. Step 6: Final answer
    x = 154,402.76

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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.