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Finding the Fourth Proportional to 191,191.84, 286,393.20 and 112,065.76

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Solution

The fourth proportional to 191,191.84, 286,393.20 and 112,065.76 is: 167,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,191.84 : 286,393.20 = 112,065.76 : x
  2. Step 2: Convert to fraction form
    191,191.84/286,393.20 = 112,065.76/x
  3. Step 3: Cross multiply
    191,191.84x = 286,393.20 × 112,065.76
  4. Step 4: Simplify right side
    191,191.84x = 32,094,871,616.83
  5. Step 5: Solve for x
    x = 32,094,871,616.83/191,191.84
  6. Step 6: Final answer
    x = 167,867.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.