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Finding the Fourth Proportional to 153,713.82, 230,642.02 and 64,988.04

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Solution

The fourth proportional to 153,713.82, 230,642.02 and 64,988.04 is: 97,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,713.82 : 230,642.02 = 64,988.04 : x
  2. Step 2: Convert to fraction form
    153,713.82/230,642.02 = 64,988.04/x
  3. Step 3: Cross multiply
    153,713.82x = 230,642.02 × 64,988.04
  4. Step 4: Simplify right side
    153,713.82x = 14,988,972,821.44
  5. Step 5: Solve for x
    x = 14,988,972,821.44/153,713.82
  6. Step 6: Final answer
    x = 97,512.20

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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.