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Finding the Fourth Proportional to 194,142, 291,212.76 and 61,033.88

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Solution

The fourth proportional to 194,142, 291,212.76 and 61,033.88 is: 91,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,142 : 291,212.76 = 61,033.88 : x
  2. Step 2: Convert to fraction form
    194,142/291,212.76 = 61,033.88/x
  3. Step 3: Cross multiply
    194,142x = 291,212.76 × 61,033.88
  4. Step 4: Simplify right side
    194,142x = 17,773,844,648.31
  5. Step 5: Solve for x
    x = 17,773,844,648.31/194,142
  6. Step 6: Final answer
    x = 91,550.74

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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.