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Finding the Fourth Proportional to 119,165.60, 178,849.20 and 49,095.20

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Solution

The fourth proportional to 119,165.60, 178,849.20 and 49,095.20 is: 73,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,165.60 : 178,849.20 = 49,095.20 : x
  2. Step 2: Convert to fraction form
    119,165.60/178,849.20 = 49,095.20/x
  3. Step 3: Cross multiply
    119,165.60x = 178,849.20 × 49,095.20
  4. Step 4: Simplify right side
    119,165.60x = 8,780,637,243.84
  5. Step 5: Solve for x
    x = 8,780,637,243.84/119,165.60
  6. Step 6: Final answer
    x = 73,684.33

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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.