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Finding the Fourth Proportional to 194,792.65, 292,368.59 and 98,797.24

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Solution

The fourth proportional to 194,792.65, 292,368.59 and 98,797.24 is: 148,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,792.65 : 292,368.59 = 98,797.24 : x
  2. Step 2: Convert to fraction form
    194,792.65/292,368.59 = 98,797.24/x
  3. Step 3: Cross multiply
    194,792.65x = 292,368.59 × 98,797.24
  4. Step 4: Simplify right side
    194,792.65x = 28,885,210,324.61
  5. Step 5: Solve for x
    x = 28,885,210,324.61/194,792.65
  6. Step 6: Final answer
    x = 148,286.96

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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.