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Finding the Fourth Proportional to 201,384.38, 277,904.52 and 110,740.25

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Solution

The fourth proportional to 201,384.38, 277,904.52 and 110,740.25 is: 152,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,384.38 : 277,904.52 = 110,740.25 : x
  2. Step 2: Convert to fraction form
    201,384.38/277,904.52 = 110,740.25/x
  3. Step 3: Cross multiply
    201,384.38x = 277,904.52 × 110,740.25
  4. Step 4: Simplify right side
    201,384.38x = 30,775,214,631.41
  5. Step 5: Solve for x
    x = 30,775,214,631.41/201,384.38
  6. Step 6: Final answer
    x = 152,818.28

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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.