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Finding the Fourth Proportional to 201,112.56, 277,536.47 and 110,465.51

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Solution

The fourth proportional to 201,112.56, 277,536.47 and 110,465.51 is: 152,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,112.56 : 277,536.47 = 110,465.51 : x
  2. Step 2: Convert to fraction form
    201,112.56/277,536.47 = 110,465.51/x
  3. Step 3: Cross multiply
    201,112.56x = 277,536.47 × 110,465.51
  4. Step 4: Simplify right side
    201,112.56x = 30,658,205,762.14
  5. Step 5: Solve for x
    x = 30,658,205,762.14/201,112.56
  6. Step 6: Final answer
    x = 152,443.02

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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.