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Finding the Fourth Proportional to 153,827.61, 230,712.24 and 65,143.41

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Solution

The fourth proportional to 153,827.61, 230,712.24 and 65,143.41 is: 97,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,827.61 : 230,712.24 = 65,143.41 : x
  2. Step 2: Convert to fraction form
    153,827.61/230,712.24 = 65,143.41/x
  3. Step 3: Cross multiply
    153,827.61x = 230,712.24 × 65,143.41
  4. Step 4: Simplify right side
    153,827.61x = 15,029,382,042.34
  5. Step 5: Solve for x
    x = 15,029,382,042.34/153,827.61
  6. Step 6: Final answer
    x = 97,702.76

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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.