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Finding the Fourth Proportional to 280,208.16, 420,435.46 and 147,057.22

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Solution

The fourth proportional to 280,208.16, 420,435.46 and 147,057.22 is: 220,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,208.16 : 420,435.46 = 147,057.22 : x
  2. Step 2: Convert to fraction form
    280,208.16/420,435.46 = 147,057.22/x
  3. Step 3: Cross multiply
    280,208.16x = 420,435.46 × 147,057.22
  4. Step 4: Simplify right side
    280,208.16x = 61,828,070,646.39
  5. Step 5: Solve for x
    x = 61,828,070,646.39/280,208.16
  6. Step 6: Final answer
    x = 220,650.50

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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.