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Finding the Fourth Proportional to 201,238.22, 277,703.13 and 110,594.16

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Solution

The fourth proportional to 201,238.22, 277,703.13 and 110,594.16 is: 152,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,238.22 : 277,703.13 = 110,594.16 : x
  2. Step 2: Convert to fraction form
    201,238.22/277,703.13 = 110,594.16/x
  3. Step 3: Cross multiply
    201,238.22x = 277,703.13 × 110,594.16
  4. Step 4: Simplify right side
    201,238.22x = 30,712,344,806.45
  5. Step 5: Solve for x
    x = 30,712,344,806.45/201,238.22
  6. Step 6: Final answer
    x = 152,616.86

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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.