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Finding the Fourth Proportional to 120,698.52, 181,047.78 and 37,599

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Solution

The fourth proportional to 120,698.52, 181,047.78 and 37,599 is: 56,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,698.52 : 181,047.78 = 37,599 : x
  2. Step 2: Convert to fraction form
    120,698.52/181,047.78 = 37,599/x
  3. Step 3: Cross multiply
    120,698.52x = 181,047.78 × 37,599
  4. Step 4: Simplify right side
    120,698.52x = 6,807,215,480.22
  5. Step 5: Solve for x
    x = 6,807,215,480.22/120,698.52
  6. Step 6: Final answer
    x = 56,398.50

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1.5x scale

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.