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Finding the Fourth Proportional to 274,076.93, 411,159.72 and 84,492.95

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Solution

The fourth proportional to 274,076.93, 411,159.72 and 84,492.95 is: 126,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,076.93 : 411,159.72 = 84,492.95 : x
  2. Step 2: Convert to fraction form
    274,076.93/411,159.72 = 84,492.95/x
  3. Step 3: Cross multiply
    274,076.93x = 411,159.72 × 84,492.95
  4. Step 4: Simplify right side
    274,076.93x = 34,740,095,608.18
  5. Step 5: Solve for x
    x = 34,740,095,608.18/274,076.93
  6. Step 6: Final answer
    x = 126,753.08

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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.