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Finding the Fourth Proportional to 359,255.25, 538,820.91 and 106,532.82

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Solution

The fourth proportional to 359,255.25, 538,820.91 and 106,532.82 is: 159,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,255.25 : 538,820.91 = 106,532.82 : x
  2. Step 2: Convert to fraction form
    359,255.25/538,820.91 = 106,532.82/x
  3. Step 3: Cross multiply
    359,255.25x = 538,820.91 × 106,532.82
  4. Step 4: Simplify right side
    359,255.25x = 57,402,111,017.27
  5. Step 5: Solve for x
    x = 57,402,111,017.27/359,255.25
  6. Step 6: Final answer
    x = 159,780.86

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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.