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Finding the Fourth Proportional to 104,029.10, 156,043.65 and 97,468.10

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Solution

The fourth proportional to 104,029.10, 156,043.65 and 97,468.10 is: 146,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,029.10 : 156,043.65 = 97,468.10 : x
  2. Step 2: Convert to fraction form
    104,029.10/156,043.65 = 97,468.10/x
  3. Step 3: Cross multiply
    104,029.10x = 156,043.65 × 97,468.10
  4. Step 4: Simplify right side
    104,029.10x = 15,209,278,082.57
  5. Step 5: Solve for x
    x = 15,209,278,082.57/104,029.10
  6. Step 6: Final answer
    x = 146,202.15

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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.