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Finding the Fourth Proportional to 206,196.17, 309,294.01 and 56,437.70

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Solution

The fourth proportional to 206,196.17, 309,294.01 and 56,437.70 is: 84,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,196.17 : 309,294.01 = 56,437.70 : x
  2. Step 2: Convert to fraction form
    206,196.17/309,294.01 = 56,437.70/x
  3. Step 3: Cross multiply
    206,196.17x = 309,294.01 × 56,437.70
  4. Step 4: Simplify right side
    206,196.17x = 17,455,841,072.25
  5. Step 5: Solve for x
    x = 17,455,841,072.25/206,196.17
  6. Step 6: Final answer
    x = 84,656.48

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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.