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Finding the Fourth Proportional to 158,897.72, 219,268.05 and 87,280.76

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Solution

The fourth proportional to 158,897.72, 219,268.05 and 87,280.76 is: 120,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,897.72 : 219,268.05 = 87,280.76 : x
  2. Step 2: Convert to fraction form
    158,897.72/219,268.05 = 87,280.76/x
  3. Step 3: Cross multiply
    158,897.72x = 219,268.05 × 87,280.76
  4. Step 4: Simplify right side
    158,897.72x = 19,137,880,951.38
  5. Step 5: Solve for x
    x = 19,137,880,951.38/158,897.72
  6. Step 6: Final answer
    x = 120,441.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.