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Finding the Fourth Proportional to 158,438.47, 237,710.66 and 51,827.29

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Solution

The fourth proportional to 158,438.47, 237,710.66 and 51,827.29 is: 77,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,438.47 : 237,710.66 = 51,827.29 : x
  2. Step 2: Convert to fraction form
    158,438.47/237,710.66 = 51,827.29/x
  3. Step 3: Cross multiply
    158,438.47x = 237,710.66 × 51,827.29
  4. Step 4: Simplify right side
    158,438.47x = 12,319,899,311.91
  5. Step 5: Solve for x
    x = 12,319,899,311.91/158,438.47
  6. Step 6: Final answer
    x = 77,758.26

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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.