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Finding the Fourth Proportional to 103,663.80, 155,301.30 and 96,665.40

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Solution

The fourth proportional to 103,663.80, 155,301.30 and 96,665.40 is: 144,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663.80 : 155,301.30 = 96,665.40 : x
  2. Step 2: Convert to fraction form
    103,663.80/155,301.30 = 96,665.40/x
  3. Step 3: Cross multiply
    103,663.80x = 155,301.30 × 96,665.40
  4. Step 4: Simplify right side
    103,663.80x = 15,012,262,285.02
  5. Step 5: Solve for x
    x = 15,012,262,285.02/103,663.80
  6. Step 6: Final answer
    x = 144,816.82

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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.