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Finding the Fourth Proportional to 286,903.20, 430,297.20 and 137,143.20

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Solution

The fourth proportional to 286,903.20, 430,297.20 and 137,143.20 is: 205,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,903.20 : 430,297.20 = 137,143.20 : x
  2. Step 2: Convert to fraction form
    286,903.20/430,297.20 = 137,143.20/x
  3. Step 3: Cross multiply
    286,903.20x = 430,297.20 × 137,143.20
  4. Step 4: Simplify right side
    286,903.20x = 59,012,334,959.04
  5. Step 5: Solve for x
    x = 59,012,334,959.04/286,903.20
  6. Step 6: Final answer
    x = 205,687.27

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1.5x scale

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.