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Finding the Fourth Proportional to 164,854.04, 247,274.22 and 76,078.04

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Solution

The fourth proportional to 164,854.04, 247,274.22 and 76,078.04 is: 114,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,854.04 : 247,274.22 = 76,078.04 : x
  2. Step 2: Convert to fraction form
    164,854.04/247,274.22 = 76,078.04/x
  3. Step 3: Cross multiply
    164,854.04x = 247,274.22 × 76,078.04
  4. Step 4: Simplify right side
    164,854.04x = 18,812,138,000.13
  5. Step 5: Solve for x
    x = 18,812,138,000.13/164,854.04
  6. Step 6: Final answer
    x = 114,113.90

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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.