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Finding the Fourth Proportional to 165,264.16, 247,723.24 and 69,256.35

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Solution

The fourth proportional to 165,264.16, 247,723.24 and 69,256.35 is: 103,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,264.16 : 247,723.24 = 69,256.35 : x
  2. Step 2: Convert to fraction form
    165,264.16/247,723.24 = 69,256.35/x
  3. Step 3: Cross multiply
    165,264.16x = 247,723.24 × 69,256.35
  4. Step 4: Simplify right side
    165,264.16x = 17,156,405,827.68
  5. Step 5: Solve for x
    x = 17,156,405,827.68/165,264.16
  6. Step 6: Final answer
    x = 103,812.02

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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.