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Finding the Fourth Proportional to 102,655.76, 153,970.84 and 28,789.52

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Solution

The fourth proportional to 102,655.76, 153,970.84 and 28,789.52 is: 43,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,655.76 : 153,970.84 = 28,789.52 : x
  2. Step 2: Convert to fraction form
    102,655.76/153,970.84 = 28,789.52/x
  3. Step 3: Cross multiply
    102,655.76x = 153,970.84 × 28,789.52
  4. Step 4: Simplify right side
    102,655.76x = 4,432,746,577.60
  5. Step 5: Solve for x
    x = 4,432,746,577.60/102,655.76
  6. Step 6: Final answer
    x = 43,180.69

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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.