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Finding the Fourth Proportional to 153,777.96, 230,671.80 and 65,034.36

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Solution

The fourth proportional to 153,777.96, 230,671.80 and 65,034.36 is: 97,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,777.96 : 230,671.80 = 65,034.36 : x
  2. Step 2: Convert to fraction form
    153,777.96/230,671.80 = 65,034.36/x
  3. Step 3: Cross multiply
    153,777.96x = 230,671.80 × 65,034.36
  4. Step 4: Simplify right side
    153,777.96x = 15,001,592,883.05
  5. Step 5: Solve for x
    x = 15,001,592,883.05/153,777.96
  6. Step 6: Final answer
    x = 97,553.60

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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.