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Finding the Fourth Proportional to 233,564.69, 322,319.22 and 126,134.70

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Solution

The fourth proportional to 233,564.69, 322,319.22 and 126,134.70 is: 174,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,564.69 : 322,319.22 = 126,134.70 : x
  2. Step 2: Convert to fraction form
    233,564.69/322,319.22 = 126,134.70/x
  3. Step 3: Cross multiply
    233,564.69x = 322,319.22 × 126,134.70
  4. Step 4: Simplify right side
    233,564.69x = 40,655,638,118.93
  5. Step 5: Solve for x
    x = 40,655,638,118.93/233,564.69
  6. Step 6: Final answer
    x = 174,065.86

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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.