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Finding the Fourth Proportional to 112,102.84, 154,614.38 and 71,820.32

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Solution

The fourth proportional to 112,102.84, 154,614.38 and 71,820.32 is: 99,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,102.84 : 154,614.38 = 71,820.32 : x
  2. Step 2: Convert to fraction form
    112,102.84/154,614.38 = 71,820.32/x
  3. Step 3: Cross multiply
    112,102.84x = 154,614.38 × 71,820.32
  4. Step 4: Simplify right side
    112,102.84x = 11,104,454,248.20
  5. Step 5: Solve for x
    x = 11,104,454,248.20/112,102.84
  6. Step 6: Final answer
    x = 99,055.96

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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.