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Finding the Fourth Proportional to 262,152, 392,382.18 and 135,618.03

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Solution

The fourth proportional to 262,152, 392,382.18 and 135,618.03 is: 202,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,152 : 392,382.18 = 135,618.03 : x
  2. Step 2: Convert to fraction form
    262,152/392,382.18 = 135,618.03/x
  3. Step 3: Cross multiply
    262,152x = 392,382.18 × 135,618.03
  4. Step 4: Simplify right side
    262,152x = 53,214,098,258.71
  5. Step 5: Solve for x
    x = 53,214,098,258.71/262,152
  6. Step 6: Final answer
    x = 202,989.48

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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.