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Finding the Fourth Proportional to 300,209.80, 450,369.28 and 142,436.80

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Solution

The fourth proportional to 300,209.80, 450,369.28 and 142,436.80 is: 213,681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,209.80 : 450,369.28 = 142,436.80 : x
  2. Step 2: Convert to fraction form
    300,209.80/450,369.28 = 142,436.80/x
  3. Step 3: Cross multiply
    300,209.80x = 450,369.28 × 142,436.80
  4. Step 4: Simplify right side
    300,209.80x = 64,149,159,061.50
  5. Step 5: Solve for x
    x = 64,149,159,061.50/300,209.80
  6. Step 6: Final answer
    x = 213,681.10

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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.