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Finding the Fourth Proportional to 153,863.43, 230,819.44 and 65,117.40

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Solution

The fourth proportional to 153,863.43, 230,819.44 and 65,117.40 is: 97,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,863.43 : 230,819.44 = 65,117.40 : x
  2. Step 2: Convert to fraction form
    153,863.43/230,819.44 = 65,117.40/x
  3. Step 3: Cross multiply
    153,863.43x = 230,819.44 × 65,117.40
  4. Step 4: Simplify right side
    153,863.43x = 15,030,361,802.26
  5. Step 5: Solve for x
    x = 15,030,361,802.26/153,863.43
  6. Step 6: Final answer
    x = 97,686.38

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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.