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Finding the Fourth Proportional to 282,771.78, 424,146.60 and 95,783.28

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Solution

The fourth proportional to 282,771.78, 424,146.60 and 95,783.28 is: 143,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,771.78 : 424,146.60 = 95,783.28 : x
  2. Step 2: Convert to fraction form
    282,771.78/424,146.60 = 95,783.28/x
  3. Step 3: Cross multiply
    282,771.78x = 424,146.60 × 95,783.28
  4. Step 4: Simplify right side
    282,771.78x = 40,626,152,548.85
  5. Step 5: Solve for x
    x = 40,626,152,548.85/282,771.78
  6. Step 6: Final answer
    x = 143,671.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.