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Finding the Fourth Proportional to 261,602.84, 361,020.84 and 154,264.88

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Solution

The fourth proportional to 261,602.84, 361,020.84 and 154,264.88 is: 212,890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,602.84 : 361,020.84 = 154,264.88 : x
  2. Step 2: Convert to fraction form
    261,602.84/361,020.84 = 154,264.88/x
  3. Step 3: Cross multiply
    261,602.84x = 361,020.84 × 154,264.88
  4. Step 4: Simplify right side
    261,602.84x = 55,692,836,560.10
  5. Step 5: Solve for x
    x = 55,692,836,560.10/261,602.84
  6. Step 6: Final answer
    x = 212,890.79

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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.