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Finding the Fourth Proportional to 146,875.68, 202,681.68 and 83,222.88

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Solution

The fourth proportional to 146,875.68, 202,681.68 and 83,222.88 is: 114,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,875.68 : 202,681.68 = 83,222.88 : x
  2. Step 2: Convert to fraction form
    146,875.68/202,681.68 = 83,222.88/x
  3. Step 3: Cross multiply
    146,875.68x = 202,681.68 × 83,222.88
  4. Step 4: Simplify right side
    146,875.68x = 16,867,753,132.84
  5. Step 5: Solve for x
    x = 16,867,753,132.84/146,875.68
  6. Step 6: Final answer
    x = 114,843.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.