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Finding the Fourth Proportional to 200,455.71, 276,551.82 and 114,419.48

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Solution

The fourth proportional to 200,455.71, 276,551.82 and 114,419.48 is: 157,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,455.71 : 276,551.82 = 114,419.48 : x
  2. Step 2: Convert to fraction form
    200,455.71/276,551.82 = 114,419.48/x
  3. Step 3: Cross multiply
    200,455.71x = 276,551.82 × 114,419.48
  4. Step 4: Simplify right side
    200,455.71x = 31,642,915,437.45
  5. Step 5: Solve for x
    x = 31,642,915,437.45/200,455.71
  6. Step 6: Final answer
    x = 157,854.90

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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.