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Finding the Fourth Proportional to 140,818, 194,298.60 and 83,475.40

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Solution

The fourth proportional to 140,818, 194,298.60 and 83,475.40 is: 115,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,818 : 194,298.60 = 83,475.40 : x
  2. Step 2: Convert to fraction form
    140,818/194,298.60 = 83,475.40/x
  3. Step 3: Cross multiply
    140,818x = 194,298.60 × 83,475.40
  4. Step 4: Simplify right side
    140,818x = 16,219,153,354.44
  5. Step 5: Solve for x
    x = 16,219,153,354.44/140,818
  6. Step 6: Final answer
    x = 115,178.13

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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.