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Finding the Fourth Proportional to 153,091.52, 229,654.56 and 64,328.48

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Solution

The fourth proportional to 153,091.52, 229,654.56 and 64,328.48 is: 96,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,091.52 : 229,654.56 = 64,328.48 : x
  2. Step 2: Convert to fraction form
    153,091.52/229,654.56 = 64,328.48/x
  3. Step 3: Cross multiply
    153,091.52x = 229,654.56 × 64,328.48
  4. Step 4: Simplify right side
    153,091.52x = 14,773,328,769.87
  5. Step 5: Solve for x
    x = 14,773,328,769.87/153,091.52
  6. Step 6: Final answer
    x = 96,499.98

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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.