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Finding the Fourth Proportional to 227,462.71, 341,254.56 and 77,702.77

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Solution

The fourth proportional to 227,462.71, 341,254.56 and 77,702.77 is: 116,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,462.71 : 341,254.56 = 77,702.77 : x
  2. Step 2: Convert to fraction form
    227,462.71/341,254.56 = 77,702.77/x
  3. Step 3: Cross multiply
    227,462.71x = 341,254.56 × 77,702.77
  4. Step 4: Simplify right side
    227,462.71x = 26,516,424,587.13
  5. Step 5: Solve for x
    x = 26,516,424,587.13/227,462.71
  6. Step 6: Final answer
    x = 116,574.82

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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.