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Finding the Fourth Proportional to 102,288, 153,433.92 and 28,417.92

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Solution

The fourth proportional to 102,288, 153,433.92 and 28,417.92 is: 42,627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,288 : 153,433.92 = 28,417.92 : x
  2. Step 2: Convert to fraction form
    102,288/153,433.92 = 28,417.92/x
  3. Step 3: Cross multiply
    102,288x = 153,433.92 × 28,417.92
  4. Step 4: Simplify right side
    102,288x = 4,360,272,863.85
  5. Step 5: Solve for x
    x = 4,360,272,863.85/102,288
  6. Step 6: Final answer
    x = 42,627.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.