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Finding the Fourth Proportional to 120,838.60, 181,257.90 and 78,848.20

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Solution

The fourth proportional to 120,838.60, 181,257.90 and 78,848.20 is: 118,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,838.60 : 181,257.90 = 78,848.20 : x
  2. Step 2: Convert to fraction form
    120,838.60/181,257.90 = 78,848.20/x
  3. Step 3: Cross multiply
    120,838.60x = 181,257.90 × 78,848.20
  4. Step 4: Simplify right side
    120,838.60x = 14,291,859,150.78
  5. Step 5: Solve for x
    x = 14,291,859,150.78/120,838.60
  6. Step 6: Final answer
    x = 118,272.30

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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.