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Finding the Fourth Proportional to 153,980.69, 231,044.14 and 106,668.59

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Solution

The fourth proportional to 153,980.69, 231,044.14 and 106,668.59 is: 160,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,980.69 : 231,044.14 = 106,668.59 : x
  2. Step 2: Convert to fraction form
    153,980.69/231,044.14 = 106,668.59/x
  3. Step 3: Cross multiply
    153,980.69x = 231,044.14 × 106,668.59
  4. Step 4: Simplify right side
    153,980.69x = 24,645,152,641.56
  5. Step 5: Solve for x
    x = 24,645,152,641.56/153,980.69
  6. Step 6: Final answer
    x = 160,053.53

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1.5x scale

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.