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Finding the Fourth Proportional to 227,830.61, 341,744.68 and 92,894.15

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Solution

The fourth proportional to 227,830.61, 341,744.68 and 92,894.15 is: 139,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,830.61 : 341,744.68 = 92,894.15 : x
  2. Step 2: Convert to fraction form
    227,830.61/341,744.68 = 92,894.15/x
  3. Step 3: Cross multiply
    227,830.61x = 341,744.68 × 92,894.15
  4. Step 4: Simplify right side
    227,830.61x = 31,746,081,101.15
  5. Step 5: Solve for x
    x = 31,746,081,101.15/227,830.61
  6. Step 6: Final answer
    x = 139,340.72

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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.