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Finding the Fourth Proportional to 153,760.58, 230,672 and 65,013.94

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Solution

The fourth proportional to 153,760.58, 230,672 and 65,013.94 is: 97,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,760.58 : 230,672 = 65,013.94 : x
  2. Step 2: Convert to fraction form
    153,760.58/230,672 = 65,013.94/x
  3. Step 3: Cross multiply
    153,760.58x = 230,672 × 65,013.94
  4. Step 4: Simplify right side
    153,760.58x = 14,996,895,567.68
  5. Step 5: Solve for x
    x = 14,996,895,567.68/153,760.58
  6. Step 6: Final answer
    x = 97,534.07

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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.