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Finding the Fourth Proportional to 342,668.26, 514,057.47 and 117,973.45

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Solution

The fourth proportional to 342,668.26, 514,057.47 and 117,973.45 is: 176,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,668.26 : 514,057.47 = 117,973.45 : x
  2. Step 2: Convert to fraction form
    342,668.26/514,057.47 = 117,973.45/x
  3. Step 3: Cross multiply
    342,668.26x = 514,057.47 × 117,973.45
  4. Step 4: Simplify right side
    342,668.26x = 60,645,133,234.17
  5. Step 5: Solve for x
    x = 60,645,133,234.17/342,668.26
  6. Step 6: Final answer
    x = 176,979.14

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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.