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Finding the Fourth Proportional to 140,700.60, 194,166.78 and 77,038.38

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Solution

The fourth proportional to 140,700.60, 194,166.78 and 77,038.38 is: 106,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,700.60 : 194,166.78 = 77,038.38 : x
  2. Step 2: Convert to fraction form
    140,700.60/194,166.78 = 77,038.38/x
  3. Step 3: Cross multiply
    140,700.60x = 194,166.78 × 77,038.38
  4. Step 4: Simplify right side
    140,700.60x = 14,958,294,181.02
  5. Step 5: Solve for x
    x = 14,958,294,181.02/140,700.60
  6. Step 6: Final answer
    x = 106,312.94

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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.