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Finding the Fourth Proportional to 162,443.76, 224,201.43 and 97,924.56

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Solution

The fourth proportional to 162,443.76, 224,201.43 and 97,924.56 is: 135,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,443.76 : 224,201.43 = 97,924.56 : x
  2. Step 2: Convert to fraction form
    162,443.76/224,201.43 = 97,924.56/x
  3. Step 3: Cross multiply
    162,443.76x = 224,201.43 × 97,924.56
  4. Step 4: Simplify right side
    162,443.76x = 21,954,826,384.12
  5. Step 5: Solve for x
    x = 21,954,826,384.12/162,443.76
  6. Step 6: Final answer
    x = 135,153.40

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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.