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Finding the Fourth Proportional to 148,782, 205,322.40 and 81,714

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Solution

The fourth proportional to 148,782, 205,322.40 and 81,714 is: 112,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,782 : 205,322.40 = 81,714 : x
  2. Step 2: Convert to fraction form
    148,782/205,322.40 = 81,714/x
  3. Step 3: Cross multiply
    148,782x = 205,322.40 × 81,714
  4. Step 4: Simplify right side
    148,782x = 16,777,714,593.60
  5. Step 5: Solve for x
    x = 16,777,714,593.60/148,782
  6. Step 6: Final answer
    x = 112,767.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.