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Finding the Fourth Proportional to 153,770.12, 230,585.92 and 64,977.92

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Solution

The fourth proportional to 153,770.12, 230,585.92 and 64,977.92 is: 97,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,770.12 : 230,585.92 = 64,977.92 : x
  2. Step 2: Convert to fraction form
    153,770.12/230,585.92 = 64,977.92/x
  3. Step 3: Cross multiply
    153,770.12x = 230,585.92 × 64,977.92
  4. Step 4: Simplify right side
    153,770.12x = 14,982,993,462.89
  5. Step 5: Solve for x
    x = 14,982,993,462.89/153,770.12
  6. Step 6: Final answer
    x = 97,437.61

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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.