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Finding the Fourth Proportional to 153,963.20, 230,944.80 and 146,746.10

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Solution

The fourth proportional to 153,963.20, 230,944.80 and 146,746.10 is: 220,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,963.20 : 230,944.80 = 146,746.10 : x
  2. Step 2: Convert to fraction form
    153,963.20/230,944.80 = 146,746.10/x
  3. Step 3: Cross multiply
    153,963.20x = 230,944.80 × 146,746.10
  4. Step 4: Simplify right side
    153,963.20x = 33,890,248,715.28
  5. Step 5: Solve for x
    x = 33,890,248,715.28/153,963.20
  6. Step 6: Final answer
    x = 220,119.15

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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.