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Finding the Fourth Proportional to 194,142.99, 291,214.26 and 61,034.88

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Solution

The fourth proportional to 194,142.99, 291,214.26 and 61,034.88 is: 91,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,142.99 : 291,214.26 = 61,034.88 : x
  2. Step 2: Convert to fraction form
    194,142.99/291,214.26 = 61,034.88/x
  3. Step 3: Cross multiply
    194,142.99x = 291,214.26 × 61,034.88
  4. Step 4: Simplify right side
    194,142.99x = 17,774,227,413.39
  5. Step 5: Solve for x
    x = 17,774,227,413.39/194,142.99
  6. Step 6: Final answer
    x = 91,552.25

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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.