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Finding the Fourth Proportional to 201,434.94, 277,829.16 and 192,501.18

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Solution

The fourth proportional to 201,434.94, 277,829.16 and 192,501.18 is: 265,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,434.94 : 277,829.16 = 192,501.18 : x
  2. Step 2: Convert to fraction form
    201,434.94/277,829.16 = 192,501.18/x
  3. Step 3: Cross multiply
    201,434.94x = 277,829.16 × 192,501.18
  4. Step 4: Simplify right side
    201,434.94x = 53,482,441,138.41
  5. Step 5: Solve for x
    x = 53,482,441,138.41/201,434.94
  6. Step 6: Final answer
    x = 265,507.27

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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.