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Finding the Fourth Proportional to 157,182.82, 216,912.32 and 85,563.38

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Solution

The fourth proportional to 157,182.82, 216,912.32 and 85,563.38 is: 118,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,182.82 : 216,912.32 = 85,563.38 : x
  2. Step 2: Convert to fraction form
    157,182.82/216,912.32 = 85,563.38/x
  3. Step 3: Cross multiply
    157,182.82x = 216,912.32 × 85,563.38
  4. Step 4: Simplify right side
    157,182.82x = 18,559,750,967.78
  5. Step 5: Solve for x
    x = 18,559,750,967.78/157,182.82
  6. Step 6: Final answer
    x = 118,077.48

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1.5x scale

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.