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Finding the Fourth Proportional to 314,811.68, 472,078.19 and 90,120.92

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Solution

The fourth proportional to 314,811.68, 472,078.19 and 90,120.92 is: 135,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,811.68 : 472,078.19 = 90,120.92 : x
  2. Step 2: Convert to fraction form
    314,811.68/472,078.19 = 90,120.92/x
  3. Step 3: Cross multiply
    314,811.68x = 472,078.19 × 90,120.92
  4. Step 4: Simplify right side
    314,811.68x = 42,544,118,659.65
  5. Step 5: Solve for x
    x = 42,544,118,659.65/314,811.68
  6. Step 6: Final answer
    x = 135,141.49

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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.