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Finding the Fourth Proportional to 164,734.92, 247,008.71 and 64,840.95

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Solution

The fourth proportional to 164,734.92, 247,008.71 and 64,840.95 is: 97,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,734.92 : 247,008.71 = 64,840.95 : x
  2. Step 2: Convert to fraction form
    164,734.92/247,008.71 = 64,840.95/x
  3. Step 3: Cross multiply
    164,734.92x = 247,008.71 × 64,840.95
  4. Step 4: Simplify right side
    164,734.92x = 16,016,279,090.47
  5. Step 5: Solve for x
    x = 16,016,279,090.47/164,734.92
  6. Step 6: Final answer
    x = 97,224.55

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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.