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Finding the Fourth Proportional to 213,588.87, 319,799.69 and 153,677.22

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Solution

The fourth proportional to 213,588.87, 319,799.69 and 153,677.22 is: 230,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,588.87 : 319,799.69 = 153,677.22 : x
  2. Step 2: Convert to fraction form
    213,588.87/319,799.69 = 153,677.22/x
  3. Step 3: Cross multiply
    213,588.87x = 319,799.69 × 153,677.22
  4. Step 4: Simplify right side
    213,588.87x = 49,145,929,487.46
  5. Step 5: Solve for x
    x = 49,145,929,487.46/213,588.87
  6. Step 6: Final answer
    x = 230,095.92

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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.