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Finding the Fourth Proportional to 201,184.75, 277,642.25 and 115,159.51

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Solution

The fourth proportional to 201,184.75, 277,642.25 and 115,159.51 is: 158,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,184.75 : 277,642.25 = 115,159.51 : x
  2. Step 2: Convert to fraction form
    201,184.75/277,642.25 = 115,159.51/x
  3. Step 3: Cross multiply
    201,184.75x = 277,642.25 × 115,159.51
  4. Step 4: Simplify right side
    201,184.75x = 31,973,145,465.30
  5. Step 5: Solve for x
    x = 31,973,145,465.30/201,184.75
  6. Step 6: Final answer
    x = 158,924.30

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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.