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Finding the Fourth Proportional to 131,415.80, 197,123.70 and 75,234.20

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Solution

The fourth proportional to 131,415.80, 197,123.70 and 75,234.20 is: 112,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,415.80 : 197,123.70 = 75,234.20 : x
  2. Step 2: Convert to fraction form
    131,415.80/197,123.70 = 75,234.20/x
  3. Step 3: Cross multiply
    131,415.80x = 197,123.70 × 75,234.20
  4. Step 4: Simplify right side
    131,415.80x = 14,830,443,870.54
  5. Step 5: Solve for x
    x = 14,830,443,870.54/131,415.80
  6. Step 6: Final answer
    x = 112,851.30

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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.