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Finding the Fourth Proportional to 282,772.22, 390,215.76 and 155,446.98

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Solution

The fourth proportional to 282,772.22, 390,215.76 and 155,446.98 is: 214,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,772.22 : 390,215.76 = 155,446.98 : x
  2. Step 2: Convert to fraction form
    282,772.22/390,215.76 = 155,446.98/x
  3. Step 3: Cross multiply
    282,772.22x = 390,215.76 × 155,446.98
  4. Step 4: Simplify right side
    282,772.22x = 60,657,861,440.40
  5. Step 5: Solve for x
    x = 60,657,861,440.40/282,772.22
  6. Step 6: Final answer
    x = 214,511.39

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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.