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Finding the Fourth Proportional to 153,338.74, 211,607.40 and 85,354.24

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Solution

The fourth proportional to 153,338.74, 211,607.40 and 85,354.24 is: 117,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,338.74 : 211,607.40 = 85,354.24 : x
  2. Step 2: Convert to fraction form
    153,338.74/211,607.40 = 85,354.24/x
  3. Step 3: Cross multiply
    153,338.74x = 211,607.40 × 85,354.24
  4. Step 4: Simplify right side
    153,338.74x = 18,061,588,805.38
  5. Step 5: Solve for x
    x = 18,061,588,805.38/153,338.74
  6. Step 6: Final answer
    x = 117,788.82

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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.