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Finding the Fourth Proportional to 195,587.80, 293,381.70 and 106,792.87

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Solution

The fourth proportional to 195,587.80, 293,381.70 and 106,792.87 is: 160,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,587.80 : 293,381.70 = 106,792.87 : x
  2. Step 2: Convert to fraction form
    195,587.80/293,381.70 = 106,792.87/x
  3. Step 3: Cross multiply
    195,587.80x = 293,381.70 × 106,792.87
  4. Step 4: Simplify right side
    195,587.80x = 31,331,072,281.57
  5. Step 5: Solve for x
    x = 31,331,072,281.57/195,587.80
  6. Step 6: Final answer
    x = 160,189.30

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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.