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Finding the Fourth Proportional to 157,151.34, 216,874.17 and 85,533.96

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Solution

The fourth proportional to 157,151.34, 216,874.17 and 85,533.96 is: 118,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,151.34 : 216,874.17 = 85,533.96 : x
  2. Step 2: Convert to fraction form
    157,151.34/216,874.17 = 85,533.96/x
  3. Step 3: Cross multiply
    157,151.34x = 216,874.17 × 85,533.96
  4. Step 4: Simplify right side
    157,151.34x = 18,550,106,581.81
  5. Step 5: Solve for x
    x = 18,550,106,581.81/157,151.34
  6. Step 6: Final answer
    x = 118,039.76

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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.