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Finding the Fourth Proportional to 157,085.70, 235,628.55 and 82,176.90

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Solution

The fourth proportional to 157,085.70, 235,628.55 and 82,176.90 is: 123,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,085.70 : 235,628.55 = 82,176.90 : x
  2. Step 2: Convert to fraction form
    157,085.70/235,628.55 = 82,176.90/x
  3. Step 3: Cross multiply
    157,085.70x = 235,628.55 × 82,176.90
  4. Step 4: Simplify right side
    157,085.70x = 19,363,223,790.50
  5. Step 5: Solve for x
    x = 19,363,223,790.50/157,085.70
  6. Step 6: Final answer
    x = 123,265.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.