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Finding the Fourth Proportional to 164,643.24, 247,002.28 and 69,876.88

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Solution

The fourth proportional to 164,643.24, 247,002.28 and 69,876.88 is: 104,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,643.24 : 247,002.28 = 69,876.88 : x
  2. Step 2: Convert to fraction form
    164,643.24/247,002.28 = 69,876.88/x
  3. Step 3: Cross multiply
    164,643.24x = 247,002.28 × 69,876.88
  4. Step 4: Simplify right side
    164,643.24x = 17,259,748,679.29
  5. Step 5: Solve for x
    x = 17,259,748,679.29/164,643.24
  6. Step 6: Final answer
    x = 104,831.20

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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.