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Finding the Fourth Proportional to 104,032.10, 156,048.15 and 97,471.10

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Solution

The fourth proportional to 104,032.10, 156,048.15 and 97,471.10 is: 146,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,032.10 : 156,048.15 = 97,471.10 : x
  2. Step 2: Convert to fraction form
    104,032.10/156,048.15 = 97,471.10/x
  3. Step 3: Cross multiply
    104,032.10x = 156,048.15 × 97,471.10
  4. Step 4: Simplify right side
    104,032.10x = 15,210,184,833.47
  5. Step 5: Solve for x
    x = 15,210,184,833.47/104,032.10
  6. Step 6: Final answer
    x = 146,206.65

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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.