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Finding the Fourth Proportional to 200,417.82, 276,507.93 and 114,314.93

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Solution

The fourth proportional to 200,417.82, 276,507.93 and 114,314.93 is: 157,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,417.82 : 276,507.93 = 114,314.93 : x
  2. Step 2: Convert to fraction form
    200,417.82/276,507.93 = 114,314.93/x
  3. Step 3: Cross multiply
    200,417.82x = 276,507.93 × 114,314.93
  4. Step 4: Simplify right side
    200,417.82x = 31,608,984,662.39
  5. Step 5: Solve for x
    x = 31,608,984,662.39/200,417.82
  6. Step 6: Final answer
    x = 157,715.44

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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.