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Finding the Fourth Proportional to 213,036.80, 319,166.40 and 129,833.60

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Solution

The fourth proportional to 213,036.80, 319,166.40 and 129,833.60 is: 194,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,036.80 : 319,166.40 = 129,833.60 : x
  2. Step 2: Convert to fraction form
    213,036.80/319,166.40 = 129,833.60/x
  3. Step 3: Cross multiply
    213,036.80x = 319,166.40 × 129,833.60
  4. Step 4: Simplify right side
    213,036.80x = 41,438,522,711.04
  5. Step 5: Solve for x
    x = 41,438,522,711.04/213,036.80
  6. Step 6: Final answer
    x = 194,513.45

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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.