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Finding the Fourth Proportional to 267,364, 368,962.32 and 159,938.56

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Solution

The fourth proportional to 267,364, 368,962.32 and 159,938.56 is: 220,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,364 : 368,962.32 = 159,938.56 : x
  2. Step 2: Convert to fraction form
    267,364/368,962.32 = 159,938.56/x
  3. Step 3: Cross multiply
    267,364x = 368,962.32 × 159,938.56
  4. Step 4: Simplify right side
    267,364x = 59,011,302,155.06
  5. Step 5: Solve for x
    x = 59,011,302,155.06/267,364
  6. Step 6: Final answer
    x = 220,715.21

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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.