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Finding the Fourth Proportional to 154,193.68, 212,822.84 and 100,385

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Solution

The fourth proportional to 154,193.68, 212,822.84 and 100,385 is: 138,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,193.68 : 212,822.84 = 100,385 : x
  2. Step 2: Convert to fraction form
    154,193.68/212,822.84 = 100,385/x
  3. Step 3: Cross multiply
    154,193.68x = 212,822.84 × 100,385
  4. Step 4: Simplify right side
    154,193.68x = 21,364,220,793.40
  5. Step 5: Solve for x
    x = 21,364,220,793.40/154,193.68
  6. Step 6: Final answer
    x = 138,554.45

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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.