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Finding the Fourth Proportional to 274,233.20, 411,155.40 and 105,688.40

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Solution

The fourth proportional to 274,233.20, 411,155.40 and 105,688.40 is: 158,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,233.20 : 411,155.40 = 105,688.40 : x
  2. Step 2: Convert to fraction form
    274,233.20/411,155.40 = 105,688.40/x
  3. Step 3: Cross multiply
    274,233.20x = 411,155.40 × 105,688.40
  4. Step 4: Simplify right side
    274,233.20x = 43,454,356,377.36
  5. Step 5: Solve for x
    x = 43,454,356,377.36/274,233.20
  6. Step 6: Final answer
    x = 158,457.68

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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.