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Finding the Fourth Proportional to 282,296.20, 389,567 and 153,237.20

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Solution

The fourth proportional to 282,296.20, 389,567 and 153,237.20 is: 211,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,296.20 : 389,567 = 153,237.20 : x
  2. Step 2: Convert to fraction form
    282,296.20/389,567 = 153,237.20/x
  3. Step 3: Cross multiply
    282,296.20x = 389,567 × 153,237.20
  4. Step 4: Simplify right side
    282,296.20x = 59,696,156,292.40
  5. Step 5: Solve for x
    x = 59,696,156,292.40/282,296.20
  6. Step 6: Final answer
    x = 211,466.38

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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.