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Finding the Fourth Proportional to 178,369.84, 267,569.32 and 89,577.68

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Solution

The fourth proportional to 178,369.84, 267,569.32 and 89,577.68 is: 134,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,369.84 : 267,569.32 = 89,577.68 : x
  2. Step 2: Convert to fraction form
    178,369.84/267,569.32 = 89,577.68/x
  3. Step 3: Cross multiply
    178,369.84x = 267,569.32 × 89,577.68
  4. Step 4: Simplify right side
    178,369.84x = 23,968,238,924.78
  5. Step 5: Solve for x
    x = 23,968,238,924.78/178,369.84
  6. Step 6: Final answer
    x = 134,373.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.