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Finding the Fourth Proportional to 131,335.40, 197,148.90 and 81,471.80

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Solution

The fourth proportional to 131,335.40, 197,148.90 and 81,471.80 is: 122,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,335.40 : 197,148.90 = 81,471.80 : x
  2. Step 2: Convert to fraction form
    131,335.40/197,148.90 = 81,471.80/x
  3. Step 3: Cross multiply
    131,335.40x = 197,148.90 × 81,471.80
  4. Step 4: Simplify right side
    131,335.40x = 16,062,075,751.02
  5. Step 5: Solve for x
    x = 16,062,075,751.02/131,335.40
  6. Step 6: Final answer
    x = 122,298.14

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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.