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Finding the Fourth Proportional to 104,809.71, 157,131.53 and 97,668.47

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Solution

The fourth proportional to 104,809.71, 157,131.53 and 97,668.47 is: 146,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,809.71 : 157,131.53 = 97,668.47 : x
  2. Step 2: Convert to fraction form
    104,809.71/157,131.53 = 97,668.47/x
  3. Step 3: Cross multiply
    104,809.71x = 157,131.53 × 97,668.47
  4. Step 4: Simplify right side
    104,809.71x = 15,346,796,123.86
  5. Step 5: Solve for x
    x = 15,346,796,123.86/104,809.71
  6. Step 6: Final answer
    x = 146,425.33

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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.