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Finding the Fourth Proportional to 134,820.32, 186,018.84 and 82,419.11

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Solution

The fourth proportional to 134,820.32, 186,018.84 and 82,419.11 is: 113,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,820.32 : 186,018.84 = 82,419.11 : x
  2. Step 2: Convert to fraction form
    134,820.32/186,018.84 = 82,419.11/x
  3. Step 3: Cross multiply
    134,820.32x = 186,018.84 × 82,419.11
  4. Step 4: Simplify right side
    134,820.32x = 15,331,506,305.94
  5. Step 5: Solve for x
    x = 15,331,506,305.94/134,820.32
  6. Step 6: Final answer
    x = 113,718.07

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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.