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Finding the Fourth Proportional to 334,101.10, 501,151.65 and 156,954.10

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Solution

The fourth proportional to 334,101.10, 501,151.65 and 156,954.10 is: 235,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,101.10 : 501,151.65 = 156,954.10 : x
  2. Step 2: Convert to fraction form
    334,101.10/501,151.65 = 156,954.10/x
  3. Step 3: Cross multiply
    334,101.10x = 501,151.65 × 156,954.10
  4. Step 4: Simplify right side
    334,101.10x = 78,657,806,189.27
  5. Step 5: Solve for x
    x = 78,657,806,189.27/334,101.10
  6. Step 6: Final answer
    x = 235,431.15

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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.