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Finding the Fourth Proportional to 138,548.16, 191,152.98 and 84,777.12

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Solution

The fourth proportional to 138,548.16, 191,152.98 and 84,777.12 is: 116,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,548.16 : 191,152.98 = 84,777.12 : x
  2. Step 2: Convert to fraction form
    138,548.16/191,152.98 = 84,777.12/x
  3. Step 3: Cross multiply
    138,548.16x = 191,152.98 × 84,777.12
  4. Step 4: Simplify right side
    138,548.16x = 16,205,399,123.82
  5. Step 5: Solve for x
    x = 16,205,399,123.82/138,548.16
  6. Step 6: Final answer
    x = 116,965.82

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