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Finding the Fourth Proportional to 130,856.90, 196,285.32 and 42,117.32

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Solution

The fourth proportional to 130,856.90, 196,285.32 and 42,117.32 is: 63,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,856.90 : 196,285.32 = 42,117.32 : x
  2. Step 2: Convert to fraction form
    130,856.90/196,285.32 = 42,117.32/x
  3. Step 3: Cross multiply
    130,856.90x = 196,285.32 × 42,117.32
  4. Step 4: Simplify right side
    130,856.90x = 8,267,011,633.74
  5. Step 5: Solve for x
    x = 8,267,011,633.74/130,856.90
  6. Step 6: Final answer
    x = 63,175.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.