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Finding the Fourth Proportional to 268,056.84, 369,892.26 and 154,877.16

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Solution

The fourth proportional to 268,056.84, 369,892.26 and 154,877.16 is: 213,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,056.84 : 369,892.26 = 154,877.16 : x
  2. Step 2: Convert to fraction form
    268,056.84/369,892.26 = 154,877.16/x
  3. Step 3: Cross multiply
    268,056.84x = 369,892.26 × 154,877.16
  4. Step 4: Simplify right side
    268,056.84x = 57,287,862,734.78
  5. Step 5: Solve for x
    x = 57,287,862,734.78/268,056.84
  6. Step 6: Final answer
    x = 213,715.36

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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.