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Finding the Fourth Proportional to 162,921.80, 224,767.94 and 101,632.32

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Solution

The fourth proportional to 162,921.80, 224,767.94 and 101,632.32 is: 140,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,921.80 : 224,767.94 = 101,632.32 : x
  2. Step 2: Convert to fraction form
    162,921.80/224,767.94 = 101,632.32/x
  3. Step 3: Cross multiply
    162,921.80x = 224,767.94 × 101,632.32
  4. Step 4: Simplify right side
    162,921.80x = 22,843,688,530.63
  5. Step 5: Solve for x
    x = 22,843,688,530.63/162,921.80
  6. Step 6: Final answer
    x = 140,212.59

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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.