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Finding the Fourth Proportional to 162,323.50, 224,032.56 and 101,902.84

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Solution

The fourth proportional to 162,323.50, 224,032.56 and 101,902.84 is: 140,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,323.50 : 224,032.56 = 101,902.84 : x
  2. Step 2: Convert to fraction form
    162,323.50/224,032.56 = 101,902.84/x
  3. Step 3: Cross multiply
    162,323.50x = 224,032.56 × 101,902.84
  4. Step 4: Simplify right side
    162,323.50x = 22,829,553,938.52
  5. Step 5: Solve for x
    x = 22,829,553,938.52/162,323.50
  6. Step 6: Final answer
    x = 140,642.32

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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.