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Finding the Fourth Proportional to 194,417.65, 291,598.79 and 61,280.61

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Solution

The fourth proportional to 194,417.65, 291,598.79 and 61,280.61 is: 91,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,417.65 : 291,598.79 = 61,280.61 : x
  2. Step 2: Convert to fraction form
    194,417.65/291,598.79 = 61,280.61/x
  3. Step 3: Cross multiply
    194,417.65x = 291,598.79 × 61,280.61
  4. Step 4: Simplify right side
    194,417.65x = 17,869,351,726.46
  5. Step 5: Solve for x
    x = 17,869,351,726.46/194,417.65
  6. Step 6: Final answer
    x = 91,912.19

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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.