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Finding the Fourth Proportional to 157,167, 235,793.70 and 46,359

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Solution

The fourth proportional to 157,167, 235,793.70 and 46,359 is: 69,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,167 : 235,793.70 = 46,359 : x
  2. Step 2: Convert to fraction form
    157,167/235,793.70 = 46,359/x
  3. Step 3: Cross multiply
    157,167x = 235,793.70 × 46,359
  4. Step 4: Simplify right side
    157,167x = 10,931,160,138.30
  5. Step 5: Solve for x
    x = 10,931,160,138.30/157,167
  6. Step 6: Final answer
    x = 69,551.24

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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.