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Finding the Fourth Proportional to 194,943.80, 292,026.90 and 101,502.20

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Solution

The fourth proportional to 194,943.80, 292,026.90 and 101,502.20 is: 152,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,943.80 : 292,026.90 = 101,502.20 : x
  2. Step 2: Convert to fraction form
    194,943.80/292,026.90 = 101,502.20/x
  3. Step 3: Cross multiply
    194,943.80x = 292,026.90 × 101,502.20
  4. Step 4: Simplify right side
    194,943.80x = 29,641,372,809.18
  5. Step 5: Solve for x
    x = 29,641,372,809.18/194,943.80
  6. Step 6: Final answer
    x = 152,050.86

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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.