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Finding the Fourth Proportional to 334,116.10, 501,174.15 and 156,969.10

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Solution

The fourth proportional to 334,116.10, 501,174.15 and 156,969.10 is: 235,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,116.10 : 501,174.15 = 156,969.10 : x
  2. Step 2: Convert to fraction form
    334,116.10/501,174.15 = 156,969.10/x
  3. Step 3: Cross multiply
    334,116.10x = 501,174.15 × 156,969.10
  4. Step 4: Simplify right side
    334,116.10x = 78,668,855,268.77
  5. Step 5: Solve for x
    x = 78,668,855,268.77/334,116.10
  6. Step 6: Final answer
    x = 235,453.65

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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.