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Finding the Fourth Proportional to 359,756.80, 539,541.16 and 106,969.21

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Solution

The fourth proportional to 359,756.80, 539,541.16 and 106,969.21 is: 160,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,756.80 : 539,541.16 = 106,969.21 : x
  2. Step 2: Convert to fraction form
    359,756.80/539,541.16 = 106,969.21/x
  3. Step 3: Cross multiply
    359,756.80x = 539,541.16 × 106,969.21
  4. Step 4: Simplify right side
    359,756.80x = 57,714,290,031.41
  5. Step 5: Solve for x
    x = 57,714,290,031.41/359,756.80
  6. Step 6: Final answer
    x = 160,425.85

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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.