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Finding the Fourth Proportional to 158,813.20, 238,047 and 65,293.84

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Solution

The fourth proportional to 158,813.20, 238,047 and 65,293.84 is: 97,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,813.20 : 238,047 = 65,293.84 : x
  2. Step 2: Convert to fraction form
    158,813.20/238,047 = 65,293.84/x
  3. Step 3: Cross multiply
    158,813.20x = 238,047 × 65,293.84
  4. Step 4: Simplify right side
    158,813.20x = 15,543,002,730.48
  5. Step 5: Solve for x
    x = 15,543,002,730.48/158,813.20
  6. Step 6: Final answer
    x = 97,869.72

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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.