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Finding the Fourth Proportional to 163,060.38, 224,928 and 102,535.20

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Solution

The fourth proportional to 163,060.38, 224,928 and 102,535.20 is: 141,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,060.38 : 224,928 = 102,535.20 : x
  2. Step 2: Convert to fraction form
    163,060.38/224,928 = 102,535.20/x
  3. Step 3: Cross multiply
    163,060.38x = 224,928 × 102,535.20
  4. Step 4: Simplify right side
    163,060.38x = 23,063,037,465.60
  5. Step 5: Solve for x
    x = 23,063,037,465.60/163,060.38
  6. Step 6: Final answer
    x = 141,438.63

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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.