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Finding the Fourth Proportional to 201,345.84, 277,859.10 and 110,702.39

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Solution

The fourth proportional to 201,345.84, 277,859.10 and 110,702.39 is: 152,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,345.84 : 277,859.10 = 110,702.39 : x
  2. Step 2: Convert to fraction form
    201,345.84/277,859.10 = 110,702.39/x
  3. Step 3: Cross multiply
    201,345.84x = 277,859.10 × 110,702.39
  4. Step 4: Simplify right side
    201,345.84x = 30,759,665,063.95
  5. Step 5: Solve for x
    x = 30,759,665,063.95/201,345.84
  6. Step 6: Final answer
    x = 152,770.30

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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.