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Finding the Fourth Proportional to 267,411.84, 369,196.08 and 172,084.16

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Solution

The fourth proportional to 267,411.84, 369,196.08 and 172,084.16 is: 237,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,411.84 : 369,196.08 = 172,084.16 : x
  2. Step 2: Convert to fraction form
    267,411.84/369,196.08 = 172,084.16/x
  3. Step 3: Cross multiply
    267,411.84x = 369,196.08 × 172,084.16
  4. Step 4: Simplify right side
    267,411.84x = 63,532,797,302.09
  5. Step 5: Solve for x
    x = 63,532,797,302.09/267,411.84
  6. Step 6: Final answer
    x = 237,584.08

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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.