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Finding the Fourth Proportional to 359,827.23, 539,646.65 and 107,039.66

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Solution

The fourth proportional to 359,827.23, 539,646.65 and 107,039.66 is: 160,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,827.23 : 539,646.65 = 107,039.66 : x
  2. Step 2: Convert to fraction form
    359,827.23/539,646.65 = 107,039.66/x
  3. Step 3: Cross multiply
    359,827.23x = 539,646.65 × 107,039.66
  4. Step 4: Simplify right side
    359,827.23x = 57,763,593,400.94
  5. Step 5: Solve for x
    x = 57,763,593,400.94/359,827.23
  6. Step 6: Final answer
    x = 160,531.47

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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.