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Finding the Fourth Proportional to 130,165.77, 195,025.77 and 71,042.93

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Solution

The fourth proportional to 130,165.77, 195,025.77 and 71,042.93 is: 106,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,165.77 : 195,025.77 = 71,042.93 : x
  2. Step 2: Convert to fraction form
    130,165.77/195,025.77 = 71,042.93/x
  3. Step 3: Cross multiply
    130,165.77x = 195,025.77 × 71,042.93
  4. Step 4: Simplify right side
    130,165.77x = 13,855,200,795.96
  5. Step 5: Solve for x
    x = 13,855,200,795.96/130,165.77
  6. Step 6: Final answer
    x = 106,442.74

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1.5x scale

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.