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Finding the Fourth Proportional to 194,947.80, 292,275.90 and 106,301.40

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Solution

The fourth proportional to 194,947.80, 292,275.90 and 106,301.40 is: 159,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,947.80 : 292,275.90 = 106,301.40 : x
  2. Step 2: Convert to fraction form
    194,947.80/292,275.90 = 106,301.40/x
  3. Step 3: Cross multiply
    194,947.80x = 292,275.90 × 106,301.40
  4. Step 4: Simplify right side
    194,947.80x = 31,069,337,356.26
  5. Step 5: Solve for x
    x = 31,069,337,356.26/194,947.80
  6. Step 6: Final answer
    x = 159,372.60

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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.