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Finding the Fourth Proportional to 359,761.25, 539,547.81 and 106,973.66

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Solution

The fourth proportional to 359,761.25, 539,547.81 and 106,973.66 is: 160,432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,761.25 : 539,547.81 = 106,973.66 : x
  2. Step 2: Convert to fraction form
    359,761.25/539,547.81 = 106,973.66/x
  3. Step 3: Cross multiply
    359,761.25x = 539,547.81 × 106,973.66
  4. Step 4: Simplify right side
    359,761.25x = 57,717,403,980.68
  5. Step 5: Solve for x
    x = 57,717,403,980.68/359,761.25
  6. Step 6: Final answer
    x = 160,432.52

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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.