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Finding the Fourth Proportional to 212,681.56, 293,498.20 and 120,800.20

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Solution

The fourth proportional to 212,681.56, 293,498.20 and 120,800.20 is: 166,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,681.56 : 293,498.20 = 120,800.20 : x
  2. Step 2: Convert to fraction form
    212,681.56/293,498.20 = 120,800.20/x
  3. Step 3: Cross multiply
    212,681.56x = 293,498.20 × 120,800.20
  4. Step 4: Simplify right side
    212,681.56x = 35,454,641,259.64
  5. Step 5: Solve for x
    x = 35,454,641,259.64/212,681.56
  6. Step 6: Final answer
    x = 166,702.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.