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Finding the Fourth Proportional to 113,224.40, 169,836.60 and 102,856.40

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Solution

The fourth proportional to 113,224.40, 169,836.60 and 102,856.40 is: 154,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,224.40 : 169,836.60 = 102,856.40 : x
  2. Step 2: Convert to fraction form
    113,224.40/169,836.60 = 102,856.40/x
  3. Step 3: Cross multiply
    113,224.40x = 169,836.60 × 102,856.40
  4. Step 4: Simplify right side
    113,224.40x = 17,468,781,264.24
  5. Step 5: Solve for x
    x = 17,468,781,264.24/113,224.40
  6. Step 6: Final answer
    x = 154,284.60

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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.