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Finding the Fourth Proportional to 153,833.96, 230,721.71 and 65,149.72

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Solution

The fourth proportional to 153,833.96, 230,721.71 and 65,149.72 is: 97,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,833.96 : 230,721.71 = 65,149.72 : x
  2. Step 2: Convert to fraction form
    153,833.96/230,721.71 = 65,149.72/x
  3. Step 3: Cross multiply
    153,833.96x = 230,721.71 × 65,149.72
  4. Step 4: Simplify right side
    153,833.96x = 15,031,454,804.42
  5. Step 5: Solve for x
    x = 15,031,454,804.42/153,833.96
  6. Step 6: Final answer
    x = 97,712.20

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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.