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Finding the Fourth Proportional to 194,434.16, 291,322.92 and 119,397.92

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Solution

The fourth proportional to 194,434.16, 291,322.92 and 119,397.92 is: 178,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,434.16 : 291,322.92 = 119,397.92 : x
  2. Step 2: Convert to fraction form
    194,434.16/291,322.92 = 119,397.92/x
  3. Step 3: Cross multiply
    194,434.16x = 291,322.92 × 119,397.92
  4. Step 4: Simplify right side
    194,434.16x = 34,783,350,696.33
  5. Step 5: Solve for x
    x = 34,783,350,696.33/194,434.16
  6. Step 6: Final answer
    x = 178,895.27

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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.