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Finding the Fourth Proportional to 212,907.29, 293,832.77 and 159,098.85

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Solution

The fourth proportional to 212,907.29, 293,832.77 and 159,098.85 is: 219,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,907.29 : 293,832.77 = 159,098.85 : x
  2. Step 2: Convert to fraction form
    212,907.29/293,832.77 = 159,098.85/x
  3. Step 3: Cross multiply
    212,907.29x = 293,832.77 × 159,098.85
  4. Step 4: Simplify right side
    212,907.29x = 46,748,455,003.82
  5. Step 5: Solve for x
    x = 46,748,455,003.82/212,907.29
  6. Step 6: Final answer
    x = 219,571.89

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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.