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Finding the Fourth Proportional to 359,305.14, 538,865.76 and 106,526.52

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Solution

The fourth proportional to 359,305.14, 538,865.76 and 106,526.52 is: 159,762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,305.14 : 538,865.76 = 106,526.52 : x
  2. Step 2: Convert to fraction form
    359,305.14/538,865.76 = 106,526.52/x
  3. Step 3: Cross multiply
    359,305.14x = 538,865.76 × 106,526.52
  4. Step 4: Simplify right side
    359,305.14x = 57,403,494,159.96
  5. Step 5: Solve for x
    x = 57,403,494,159.96/359,305.14
  6. Step 6: Final answer
    x = 159,762.52

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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.