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Finding the Fourth Proportional to 201,386.94, 277,918.48 and 110,737.14

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Solution

The fourth proportional to 201,386.94, 277,918.48 and 110,737.14 is: 152,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,386.94 : 277,918.48 = 110,737.14 : x
  2. Step 2: Convert to fraction form
    201,386.94/277,918.48 = 110,737.14/x
  3. Step 3: Cross multiply
    201,386.94x = 277,918.48 × 110,737.14
  4. Step 4: Simplify right side
    201,386.94x = 30,775,897,628.35
  5. Step 5: Solve for x
    x = 30,775,897,628.35/201,386.94
  6. Step 6: Final answer
    x = 152,819.73

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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.