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Finding the Fourth Proportional to 123,875.44, 170,948.16 and 67,288

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Solution

The fourth proportional to 123,875.44, 170,948.16 and 67,288 is: 92,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,875.44 : 170,948.16 = 67,288 : x
  2. Step 2: Convert to fraction form
    123,875.44/170,948.16 = 67,288/x
  3. Step 3: Cross multiply
    123,875.44x = 170,948.16 × 67,288
  4. Step 4: Simplify right side
    123,875.44x = 11,502,759,790.08
  5. Step 5: Solve for x
    x = 11,502,759,790.08/123,875.44
  6. Step 6: Final answer
    x = 92,857.47

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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.