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Finding the Fourth Proportional to 194,417.90, 291,599.16 and 61,280.86

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Solution

The fourth proportional to 194,417.90, 291,599.16 and 61,280.86 is: 91,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,417.90 : 291,599.16 = 61,280.86 : x
  2. Step 2: Convert to fraction form
    194,417.90/291,599.16 = 61,280.86/x
  3. Step 3: Cross multiply
    194,417.90x = 291,599.16 × 61,280.86
  4. Step 4: Simplify right side
    194,417.90x = 17,869,445,842.08
  5. Step 5: Solve for x
    x = 17,869,445,842.08/194,417.90
  6. Step 6: Final answer
    x = 91,912.55

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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.