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Finding the Fourth Proportional to 153,676.16, 230,538.84 and 64,930.52

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Solution

The fourth proportional to 153,676.16, 230,538.84 and 64,930.52 is: 97,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,676.16 : 230,538.84 = 64,930.52 : x
  2. Step 2: Convert to fraction form
    153,676.16/230,538.84 = 64,930.52/x
  3. Step 3: Cross multiply
    153,676.16x = 230,538.84 × 64,930.52
  4. Step 4: Simplify right side
    153,676.16x = 14,969,006,761.40
  5. Step 5: Solve for x
    x = 14,969,006,761.40/153,676.16
  6. Step 6: Final answer
    x = 97,406.17

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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.