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Finding the Fourth Proportional to 274,118.45, 411,068.66 and 105,545.43

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Solution

The fourth proportional to 274,118.45, 411,068.66 and 105,545.43 is: 158,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,118.45 : 411,068.66 = 105,545.43 : x
  2. Step 2: Convert to fraction form
    274,118.45/411,068.66 = 105,545.43/x
  3. Step 3: Cross multiply
    274,118.45x = 411,068.66 × 105,545.43
  4. Step 4: Simplify right side
    274,118.45x = 43,386,417,951.50
  5. Step 5: Solve for x
    x = 43,386,417,951.50/274,118.45
  6. Step 6: Final answer
    x = 158,276.17

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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.