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Finding the Fourth Proportional to 194,275.69, 291,400.16 and 119,407.39

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Solution

The fourth proportional to 194,275.69, 291,400.16 and 119,407.39 is: 179,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,275.69 : 291,400.16 = 119,407.39 : x
  2. Step 2: Convert to fraction form
    194,275.69/291,400.16 = 119,407.39/x
  3. Step 3: Cross multiply
    194,275.69x = 291,400.16 × 119,407.39
  4. Step 4: Simplify right side
    194,275.69x = 34,795,331,225.65
  5. Step 5: Solve for x
    x = 34,795,331,225.65/194,275.69
  6. Step 6: Final answer
    x = 179,102.86

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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.