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Finding the Fourth Proportional to 153,842.76, 230,772.54 and 48,653.88

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Solution

The fourth proportional to 153,842.76, 230,772.54 and 48,653.88 is: 72,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,842.76 : 230,772.54 = 48,653.88 : x
  2. Step 2: Convert to fraction form
    153,842.76/230,772.54 = 48,653.88/x
  3. Step 3: Cross multiply
    153,842.76x = 230,772.54 × 48,653.88
  4. Step 4: Simplify right side
    153,842.76x = 11,227,979,468.46
  5. Step 5: Solve for x
    x = 11,227,979,468.46/153,842.76
  6. Step 6: Final answer
    x = 72,983.48

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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.