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Finding the Fourth Proportional to 131,406.60, 197,109.90 and 81,802.20

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Solution

The fourth proportional to 131,406.60, 197,109.90 and 81,802.20 is: 122,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,406.60 : 197,109.90 = 81,802.20 : x
  2. Step 2: Convert to fraction form
    131,406.60/197,109.90 = 81,802.20/x
  3. Step 3: Cross multiply
    131,406.60x = 197,109.90 × 81,802.20
  4. Step 4: Simplify right side
    131,406.60x = 16,124,023,461.78
  5. Step 5: Solve for x
    x = 16,124,023,461.78/131,406.60
  6. Step 6: Final answer
    x = 122,703.30

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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.