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Finding the Fourth Proportional to 201,364.32, 277,473.28 and 155,765.36

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Solution

The fourth proportional to 201,364.32, 277,473.28 and 155,765.36 is: 214,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,364.32 : 277,473.28 = 155,765.36 : x
  2. Step 2: Convert to fraction form
    201,364.32/277,473.28 = 155,765.36/x
  3. Step 3: Cross multiply
    201,364.32x = 277,473.28 × 155,765.36
  4. Step 4: Simplify right side
    201,364.32x = 43,220,725,349.58
  5. Step 5: Solve for x
    x = 43,220,725,349.58/201,364.32
  6. Step 6: Final answer
    x = 214,639.44

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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.