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Finding the Fourth Proportional to 153,657.92, 229,462.48 and 145,784.72

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Solution

The fourth proportional to 153,657.92, 229,462.48 and 145,784.72 is: 217,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,657.92 : 229,462.48 = 145,784.72 : x
  2. Step 2: Convert to fraction form
    153,657.92/229,462.48 = 145,784.72/x
  3. Step 3: Cross multiply
    153,657.92x = 229,462.48 × 145,784.72
  4. Step 4: Simplify right side
    153,657.92x = 33,452,123,397.31
  5. Step 5: Solve for x
    x = 33,452,123,397.31/153,657.92
  6. Step 6: Final answer
    x = 217,705.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.