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Finding the Fourth Proportional to 158,602.10, 237,952.52 and 51,987

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Solution

The fourth proportional to 158,602.10, 237,952.52 and 51,987 is: 77,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,602.10 : 237,952.52 = 51,987 : x
  2. Step 2: Convert to fraction form
    158,602.10/237,952.52 = 51,987/x
  3. Step 3: Cross multiply
    158,602.10x = 237,952.52 × 51,987
  4. Step 4: Simplify right side
    158,602.10x = 12,370,437,657.24
  5. Step 5: Solve for x
    x = 12,370,437,657.24/158,602.10
  6. Step 6: Final answer
    x = 77,996.68

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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.