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Finding the Fourth Proportional to 302,856.57, 454,268.43 and 92,478.06

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Solution

The fourth proportional to 302,856.57, 454,268.43 and 92,478.06 is: 138,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,856.57 : 454,268.43 = 92,478.06 : x
  2. Step 2: Convert to fraction form
    302,856.57/454,268.43 = 92,478.06/x
  3. Step 3: Cross multiply
    302,856.57x = 454,268.43 × 92,478.06
  4. Step 4: Simplify right side
    302,856.57x = 42,009,863,125.65
  5. Step 5: Solve for x
    x = 42,009,863,125.65/302,856.57
  6. Step 6: Final answer
    x = 138,712.07

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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.