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Finding the Fourth Proportional to 265,095.48, 365,711.22 and 157,604.52

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Solution

The fourth proportional to 265,095.48, 365,711.22 and 157,604.52 is: 217,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,095.48 : 365,711.22 = 157,604.52 : x
  2. Step 2: Convert to fraction form
    265,095.48/365,711.22 = 157,604.52/x
  3. Step 3: Cross multiply
    265,095.48x = 365,711.22 × 157,604.52
  4. Step 4: Simplify right side
    265,095.48x = 57,637,741,286.71
  5. Step 5: Solve for x
    x = 57,637,741,286.71/265,095.48
  6. Step 6: Final answer
    x = 217,422.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.