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Finding the Fourth Proportional to 201,384.48, 277,916.67 and 110,735.76

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Solution

The fourth proportional to 201,384.48, 277,916.67 and 110,735.76 is: 152,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,384.48 : 277,916.67 = 110,735.76 : x
  2. Step 2: Convert to fraction form
    201,384.48/277,916.67 = 110,735.76/x
  3. Step 3: Cross multiply
    201,384.48x = 277,916.67 × 110,735.76
  4. Step 4: Simplify right side
    201,384.48x = 30,775,313,669.12
  5. Step 5: Solve for x
    x = 30,775,313,669.12/201,384.48
  6. Step 6: Final answer
    x = 152,818.70

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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.