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Finding the Fourth Proportional to 435,142.06, 652,720.29 and 119,597.02

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Solution

The fourth proportional to 435,142.06, 652,720.29 and 119,597.02 is: 179,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,142.06 : 652,720.29 = 119,597.02 : x
  2. Step 2: Convert to fraction form
    435,142.06/652,720.29 = 119,597.02/x
  3. Step 3: Cross multiply
    435,142.06x = 652,720.29 × 119,597.02
  4. Step 4: Simplify right side
    435,142.06x = 78,063,401,577.54
  5. Step 5: Solve for x
    x = 78,063,401,577.54/435,142.06
  6. Step 6: Final answer
    x = 179,397.51

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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.