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Finding the Fourth Proportional to 153,856.72, 230,761.99 and 48,662.02

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Solution

The fourth proportional to 153,856.72, 230,761.99 and 48,662.02 is: 72,985.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,856.72 : 230,761.99 = 48,662.02 : x
  2. Step 2: Convert to fraction form
    153,856.72/230,761.99 = 48,662.02/x
  3. Step 3: Cross multiply
    153,856.72x = 230,761.99 × 48,662.02
  4. Step 4: Simplify right side
    153,856.72x = 11,229,343,487.00
  5. Step 5: Solve for x
    x = 11,229,343,487.00/153,856.72
  6. Step 6: Final answer
    x = 72,985.72

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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.