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Finding the Fourth Proportional to 274,085.61, 411,199.35 and 84,541.83

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Solution

The fourth proportional to 274,085.61, 411,199.35 and 84,541.83 is: 126,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,085.61 : 411,199.35 = 84,541.83 : x
  2. Step 2: Convert to fraction form
    274,085.61/411,199.35 = 84,541.83/x
  3. Step 3: Cross multiply
    274,085.61x = 411,199.35 × 84,541.83
  4. Step 4: Simplify right side
    274,085.61x = 34,763,545,543.81
  5. Step 5: Solve for x
    x = 34,763,545,543.81/274,085.61
  6. Step 6: Final answer
    x = 126,834.62

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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.