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Finding the Fourth Proportional to 151,652.98, 209,281.84 and 83,669.95

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Solution

The fourth proportional to 151,652.98, 209,281.84 and 83,669.95 is: 115,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,652.98 : 209,281.84 = 83,669.95 : x
  2. Step 2: Convert to fraction form
    151,652.98/209,281.84 = 83,669.95/x
  3. Step 3: Cross multiply
    151,652.98x = 209,281.84 × 83,669.95
  4. Step 4: Simplify right side
    151,652.98x = 17,510,601,611.78
  5. Step 5: Solve for x
    x = 17,510,601,611.78/151,652.98
  6. Step 6: Final answer
    x = 115,464.93

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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.