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Finding the Fourth Proportional to 97,861.70, 146,792.55 and 81,254.90

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Solution

The fourth proportional to 97,861.70, 146,792.55 and 81,254.90 is: 121,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,861.70 : 146,792.55 = 81,254.90 : x
  2. Step 2: Convert to fraction form
    97,861.70/146,792.55 = 81,254.90/x
  3. Step 3: Cross multiply
    97,861.70x = 146,792.55 × 81,254.90
  4. Step 4: Simplify right side
    97,861.70x = 11,927,613,971.00
  5. Step 5: Solve for x
    x = 11,927,613,971.00/97,861.70
  6. Step 6: Final answer
    x = 121,882.35

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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.