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Finding the Fourth Proportional to 201,054.31, 277,462.33 and 110,418.64

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Solution

The fourth proportional to 201,054.31, 277,462.33 and 110,418.64 is: 152,381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,054.31 : 277,462.33 = 110,418.64 : x
  2. Step 2: Convert to fraction form
    201,054.31/277,462.33 = 110,418.64/x
  3. Step 3: Cross multiply
    201,054.31x = 277,462.33 × 110,418.64
  4. Step 4: Simplify right side
    201,054.31x = 30,637,012,160.13
  5. Step 5: Solve for x
    x = 30,637,012,160.13/201,054.31
  6. Step 6: Final answer
    x = 152,381.77

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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.