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Finding the Fourth Proportional to 153,504.90, 211,822.29 and 85,514.94

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Solution

The fourth proportional to 153,504.90, 211,822.29 and 85,514.94 is: 118,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,504.90 : 211,822.29 = 85,514.94 : x
  2. Step 2: Convert to fraction form
    153,504.90/211,822.29 = 85,514.94/x
  3. Step 3: Cross multiply
    153,504.90x = 211,822.29 × 85,514.94
  4. Step 4: Simplify right side
    153,504.90x = 18,113,970,420.01
  5. Step 5: Solve for x
    x = 18,113,970,420.01/153,504.90
  6. Step 6: Final answer
    x = 118,002.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.