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Finding the Fourth Proportional to 164,707, 247,391.10 and 98,276.76

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Solution

The fourth proportional to 164,707, 247,391.10 and 98,276.76 is: 147,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,707 : 247,391.10 = 98,276.76 : x
  2. Step 2: Convert to fraction form
    164,707/247,391.10 = 98,276.76/x
  3. Step 3: Cross multiply
    164,707x = 247,391.10 × 98,276.76
  4. Step 4: Simplify right side
    164,707x = 24,312,795,760.84
  5. Step 5: Solve for x
    x = 24,312,795,760.84/164,707
  6. Step 6: Final answer
    x = 147,612.40

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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.