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Finding the Fourth Proportional to 171,281.30, 256,921.95 and 164,282.90

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Solution

The fourth proportional to 171,281.30, 256,921.95 and 164,282.90 is: 246,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,281.30 : 256,921.95 = 164,282.90 : x
  2. Step 2: Convert to fraction form
    171,281.30/256,921.95 = 164,282.90/x
  3. Step 3: Cross multiply
    171,281.30x = 256,921.95 × 164,282.90
  4. Step 4: Simplify right side
    171,281.30x = 42,207,883,019.66
  5. Step 5: Solve for x
    x = 42,207,883,019.66/171,281.30
  6. Step 6: Final answer
    x = 246,424.35

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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.