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Finding the Fourth Proportional to 199,854.51, 275,814.95 and 113,817.13

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Solution

The fourth proportional to 199,854.51, 275,814.95 and 113,817.13 is: 157,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,854.51 : 275,814.95 = 113,817.13 : x
  2. Step 2: Convert to fraction form
    199,854.51/275,814.95 = 113,817.13/x
  3. Step 3: Cross multiply
    199,854.51x = 275,814.95 × 113,817.13
  4. Step 4: Simplify right side
    199,854.51x = 31,392,464,761.47
  5. Step 5: Solve for x
    x = 31,392,464,761.47/199,854.51
  6. Step 6: Final answer
    x = 157,076.59

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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.