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Finding the Fourth Proportional to 157,182.68, 216,912.12 and 85,563.24

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Solution

The fourth proportional to 157,182.68, 216,912.12 and 85,563.24 is: 118,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,182.68 : 216,912.12 = 85,563.24 : x
  2. Step 2: Convert to fraction form
    157,182.68/216,912.12 = 85,563.24/x
  3. Step 3: Cross multiply
    157,182.68x = 216,912.12 × 85,563.24
  4. Step 4: Simplify right side
    157,182.68x = 18,559,703,980.19
  5. Step 5: Solve for x
    x = 18,559,703,980.19/157,182.68
  6. Step 6: Final answer
    x = 118,077.28

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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.