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Finding the Fourth Proportional to 101,895.20, 152,842.80 and 97,812.80

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Solution

The fourth proportional to 101,895.20, 152,842.80 and 97,812.80 is: 146,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,895.20 : 152,842.80 = 97,812.80 : x
  2. Step 2: Convert to fraction form
    101,895.20/152,842.80 = 97,812.80/x
  3. Step 3: Cross multiply
    101,895.20x = 152,842.80 × 97,812.80
  4. Step 4: Simplify right side
    101,895.20x = 14,949,982,227.84
  5. Step 5: Solve for x
    x = 14,949,982,227.84/101,895.20
  6. Step 6: Final answer
    x = 146,719.20

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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.