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Finding the Fourth Proportional to 201,113.56, 277,537.85 and 110,466.51

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Solution

The fourth proportional to 201,113.56, 277,537.85 and 110,466.51 is: 152,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,113.56 : 277,537.85 = 110,466.51 : x
  2. Step 2: Convert to fraction form
    201,113.56/277,537.85 = 110,466.51/x
  3. Step 3: Cross multiply
    201,113.56x = 277,537.85 × 110,466.51
  4. Step 4: Simplify right side
    201,113.56x = 30,658,637,682.40
  5. Step 5: Solve for x
    x = 30,658,637,682.40/201,113.56
  6. Step 6: Final answer
    x = 152,444.41

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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.