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Finding the Fourth Proportional to 157,116.23, 216,820.44 and 85,494.71

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Solution

The fourth proportional to 157,116.23, 216,820.44 and 85,494.71 is: 117,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,116.23 : 216,820.44 = 85,494.71 : x
  2. Step 2: Convert to fraction form
    157,116.23/216,820.44 = 85,494.71/x
  3. Step 3: Cross multiply
    157,116.23x = 216,820.44 × 85,494.71
  4. Step 4: Simplify right side
    157,116.23x = 18,536,999,555.77
  5. Step 5: Solve for x
    x = 18,536,999,555.77/157,116.23
  6. Step 6: Final answer
    x = 117,982.72

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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.