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Finding the Fourth Proportional to 131,407.60, 197,111.40 and 81,803.20

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Solution

The fourth proportional to 131,407.60, 197,111.40 and 81,803.20 is: 122,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,407.60 : 197,111.40 = 81,803.20 : x
  2. Step 2: Convert to fraction form
    131,407.60/197,111.40 = 81,803.20/x
  3. Step 3: Cross multiply
    131,407.60x = 197,111.40 × 81,803.20
  4. Step 4: Simplify right side
    131,407.60x = 16,124,343,276.48
  5. Step 5: Solve for x
    x = 16,124,343,276.48/131,407.60
  6. Step 6: Final answer
    x = 122,704.80

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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.