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Finding the Fourth Proportional to 138,770.32, 191,482.52 and 84,294.16

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Solution

The fourth proportional to 138,770.32, 191,482.52 and 84,294.16 is: 116,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,770.32 : 191,482.52 = 84,294.16 : x
  2. Step 2: Convert to fraction form
    138,770.32/191,482.52 = 84,294.16/x
  3. Step 3: Cross multiply
    138,770.32x = 191,482.52 × 84,294.16
  4. Step 4: Simplify right side
    138,770.32x = 16,140,858,178.08
  5. Step 5: Solve for x
    x = 16,140,858,178.08/138,770.32
  6. Step 6: Final answer
    x = 116,313.48

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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.