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Finding the Fourth Proportional to 153,881.69, 230,822.32 and 85,536.68

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Solution

The fourth proportional to 153,881.69, 230,822.32 and 85,536.68 is: 128,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,881.69 : 230,822.32 = 85,536.68 : x
  2. Step 2: Convert to fraction form
    153,881.69/230,822.32 = 85,536.68/x
  3. Step 3: Cross multiply
    153,881.69x = 230,822.32 × 85,536.68
  4. Step 4: Simplify right side
    153,881.69x = 19,743,775,422.12
  5. Step 5: Solve for x
    x = 19,743,775,422.12/153,881.69
  6. Step 6: Final answer
    x = 128,304.90

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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.