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Finding the Fourth Proportional to 194,658.86, 291,986.53 and 61,539.15

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Solution

The fourth proportional to 194,658.86, 291,986.53 and 61,539.15 is: 92,308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,658.86 : 291,986.53 = 61,539.15 : x
  2. Step 2: Convert to fraction form
    194,658.86/291,986.53 = 61,539.15/x
  3. Step 3: Cross multiply
    194,658.86x = 291,986.53 × 61,539.15
  4. Step 4: Simplify right side
    194,658.86x = 17,968,602,713.80
  5. Step 5: Solve for x
    x = 17,968,602,713.80/194,658.86
  6. Step 6: Final answer
    x = 92,308.17

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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.