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Finding the Fourth Proportional to 200,058.20, 299,431.20 and 155,443.40

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Solution

The fourth proportional to 200,058.20, 299,431.20 and 155,443.40 is: 232,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,058.20 : 299,431.20 = 155,443.40 : x
  2. Step 2: Convert to fraction form
    200,058.20/299,431.20 = 155,443.40/x
  3. Step 3: Cross multiply
    200,058.20x = 299,431.20 × 155,443.40
  4. Step 4: Simplify right side
    200,058.20x = 46,544,603,794.08
  5. Step 5: Solve for x
    x = 46,544,603,794.08/200,058.20
  6. Step 6: Final answer
    x = 232,655.32

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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.