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Finding the Fourth Proportional to 158,603.10, 237,954.02 and 51,988

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Solution

The fourth proportional to 158,603.10, 237,954.02 and 51,988 is: 77,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,603.10 : 237,954.02 = 51,988 : x
  2. Step 2: Convert to fraction form
    158,603.10/237,954.02 = 51,988/x
  3. Step 3: Cross multiply
    158,603.10x = 237,954.02 × 51,988
  4. Step 4: Simplify right side
    158,603.10x = 12,370,753,591.76
  5. Step 5: Solve for x
    x = 12,370,753,591.76/158,603.10
  6. Step 6: Final answer
    x = 77,998.18

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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.