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Finding the Fourth Proportional to 213,437.71, 320,156.52 and 55,665.73

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Solution

The fourth proportional to 213,437.71, 320,156.52 and 55,665.73 is: 83,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,437.71 : 320,156.52 = 55,665.73 : x
  2. Step 2: Convert to fraction form
    213,437.71/320,156.52 = 55,665.73/x
  3. Step 3: Cross multiply
    213,437.71x = 320,156.52 × 55,665.73
  4. Step 4: Simplify right side
    213,437.71x = 17,821,746,400.06
  5. Step 5: Solve for x
    x = 17,821,746,400.06/213,437.71
  6. Step 6: Final answer
    x = 83,498.58

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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.