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Finding the Fourth Proportional to 231,358.76, 319,272.84 and 129,383.06

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Solution

The fourth proportional to 231,358.76, 319,272.84 and 129,383.06 is: 178,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,358.76 : 319,272.84 = 129,383.06 : x
  2. Step 2: Convert to fraction form
    231,358.76/319,272.84 = 129,383.06/x
  3. Step 3: Cross multiply
    231,358.76x = 319,272.84 × 129,383.06
  4. Step 4: Simplify right side
    231,358.76x = 41,308,497,014.09
  5. Step 5: Solve for x
    x = 41,308,497,014.09/231,358.76
  6. Step 6: Final answer
    x = 178,547.37

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1.5x scale

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.