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Finding the Fourth Proportional to 130,297.61, 195,191.87 and 89,763.96

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Solution

The fourth proportional to 130,297.61, 195,191.87 and 89,763.96 is: 134,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,297.61 : 195,191.87 = 89,763.96 : x
  2. Step 2: Convert to fraction form
    130,297.61/195,191.87 = 89,763.96/x
  3. Step 3: Cross multiply
    130,297.61x = 195,191.87 × 89,763.96
  4. Step 4: Simplify right side
    130,297.61x = 17,521,194,762.19
  5. Step 5: Solve for x
    x = 17,521,194,762.19/130,297.61
  6. Step 6: Final answer
    x = 134,470.58

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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.