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Finding the Fourth Proportional to 312,280.43, 468,133.61 and 112,551.93

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Solution

The fourth proportional to 312,280.43, 468,133.61 and 112,551.93 is: 168,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,280.43 : 468,133.61 = 112,551.93 : x
  2. Step 2: Convert to fraction form
    312,280.43/468,133.61 = 112,551.93/x
  3. Step 3: Cross multiply
    312,280.43x = 468,133.61 × 112,551.93
  4. Step 4: Simplify right side
    312,280.43x = 52,689,340,740.61
  5. Step 5: Solve for x
    x = 52,689,340,740.61/312,280.43
  6. Step 6: Final answer
    x = 168,724.44

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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.