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Finding the Fourth Proportional to 118,952.31, 178,371.96 and 69,047.70

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Solution

The fourth proportional to 118,952.31, 178,371.96 and 69,047.70 is: 103,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,952.31 : 178,371.96 = 69,047.70 : x
  2. Step 2: Convert to fraction form
    118,952.31/178,371.96 = 69,047.70/x
  3. Step 3: Cross multiply
    118,952.31x = 178,371.96 × 69,047.70
  4. Step 4: Simplify right side
    118,952.31x = 12,316,173,582.49
  5. Step 5: Solve for x
    x = 12,316,173,582.49/118,952.31
  6. Step 6: Final answer
    x = 103,538.75

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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.