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Finding the Fourth Proportional to 280,389.36, 420,808.14 and 147,348.48

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Solution

The fourth proportional to 280,389.36, 420,808.14 and 147,348.48 is: 221,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,389.36 : 420,808.14 = 147,348.48 : x
  2. Step 2: Convert to fraction form
    280,389.36/420,808.14 = 147,348.48/x
  3. Step 3: Cross multiply
    280,389.36x = 420,808.14 × 147,348.48
  4. Step 4: Simplify right side
    280,389.36x = 62,005,439,800.63
  5. Step 5: Solve for x
    x = 62,005,439,800.63/280,389.36
  6. Step 6: Final answer
    x = 221,140.49

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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.