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Finding the Fourth Proportional to 201,296.35, 277,792.41 and 110,656.13

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Solution

The fourth proportional to 201,296.35, 277,792.41 and 110,656.13 is: 152,707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,296.35 : 277,792.41 = 110,656.13 : x
  2. Step 2: Convert to fraction form
    201,296.35/277,792.41 = 110,656.13/x
  3. Step 3: Cross multiply
    201,296.35x = 277,792.41 × 110,656.13
  4. Step 4: Simplify right side
    201,296.35x = 30,739,434,352.34
  5. Step 5: Solve for x
    x = 30,739,434,352.34/201,296.35
  6. Step 6: Final answer
    x = 152,707.36

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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.