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Finding the Fourth Proportional to 213,248.47, 319,921.92 and 113,504.87

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Solution

The fourth proportional to 213,248.47, 319,921.92 and 113,504.87 is: 170,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,248.47 : 319,921.92 = 113,504.87 : x
  2. Step 2: Convert to fraction form
    213,248.47/319,921.92 = 113,504.87/x
  3. Step 3: Cross multiply
    213,248.47x = 319,921.92 × 113,504.87
  4. Step 4: Simplify right side
    213,248.47x = 36,312,695,939.75
  5. Step 5: Solve for x
    x = 36,312,695,939.75/213,248.47
  6. Step 6: Final answer
    x = 170,283.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.