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Finding the Fourth Proportional to 119,048.82, 164,276.49 and 70,642.38

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Solution

The fourth proportional to 119,048.82, 164,276.49 and 70,642.38 is: 97,480.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,048.82 : 164,276.49 = 70,642.38 : x
  2. Step 2: Convert to fraction form
    119,048.82/164,276.49 = 70,642.38/x
  3. Step 3: Cross multiply
    119,048.82x = 164,276.49 × 70,642.38
  4. Step 4: Simplify right side
    119,048.82x = 11,604,882,231.65
  5. Step 5: Solve for x
    x = 11,604,882,231.65/119,048.82
  6. Step 6: Final answer
    x = 97,480.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.