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Finding the Fourth Proportional to 137,000.48, 205,514.40 and 37,162.32

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Solution

The fourth proportional to 137,000.48, 205,514.40 and 37,162.32 is: 55,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,000.48 : 205,514.40 = 37,162.32 : x
  2. Step 2: Convert to fraction form
    137,000.48/205,514.40 = 37,162.32/x
  3. Step 3: Cross multiply
    137,000.48x = 205,514.40 × 37,162.32
  4. Step 4: Simplify right side
    137,000.48x = 7,637,391,897.41
  5. Step 5: Solve for x
    x = 7,637,391,897.41/137,000.48
  6. Step 6: Final answer
    x = 55,747.19

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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.