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Finding the Fourth Proportional to 193,678.38, 290,534.34 and 53,437.02

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Solution

The fourth proportional to 193,678.38, 290,534.34 and 53,437.02 is: 80,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,678.38 : 290,534.34 = 53,437.02 : x
  2. Step 2: Convert to fraction form
    193,678.38/290,534.34 = 53,437.02/x
  3. Step 3: Cross multiply
    193,678.38x = 290,534.34 × 53,437.02
  4. Step 4: Simplify right side
    193,678.38x = 15,525,289,337.27
  5. Step 5: Solve for x
    x = 15,525,289,337.27/193,678.38
  6. Step 6: Final answer
    x = 80,160.16

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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.