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Finding the Fourth Proportional to 282,592.36, 389,977.14 and 155,267.64

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Solution

The fourth proportional to 282,592.36, 389,977.14 and 155,267.64 is: 214,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,592.36 : 389,977.14 = 155,267.64 : x
  2. Step 2: Convert to fraction form
    282,592.36/389,977.14 = 155,267.64/x
  3. Step 3: Cross multiply
    282,592.36x = 389,977.14 × 155,267.64
  4. Step 4: Simplify right side
    282,592.36x = 60,550,830,181.75
  5. Step 5: Solve for x
    x = 60,550,830,181.75/282,592.36
  6. Step 6: Final answer
    x = 214,269.17

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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.