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Finding the Fourth Proportional to 312,088.75, 468,022.41 and 112,355.51

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Solution

The fourth proportional to 312,088.75, 468,022.41 and 112,355.51 is: 168,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,088.75 : 468,022.41 = 112,355.51 : x
  2. Step 2: Convert to fraction form
    312,088.75/468,022.41 = 112,355.51/x
  3. Step 3: Cross multiply
    312,088.75x = 468,022.41 × 112,355.51
  4. Step 4: Simplify right side
    312,088.75x = 52,584,894,226.87
  5. Step 5: Solve for x
    x = 52,584,894,226.87/312,088.75
  6. Step 6: Final answer
    x = 168,493.40

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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.