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Finding the Fourth Proportional to 210,697.68, 290,841.86 and 138,105.24

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Solution

The fourth proportional to 210,697.68, 290,841.86 and 138,105.24 is: 190,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,697.68 : 290,841.86 = 138,105.24 : x
  2. Step 2: Convert to fraction form
    210,697.68/290,841.86 = 138,105.24/x
  3. Step 3: Cross multiply
    210,697.68x = 290,841.86 × 138,105.24
  4. Step 4: Simplify right side
    210,697.68x = 40,166,784,186.82
  5. Step 5: Solve for x
    x = 40,166,784,186.82/210,697.68
  6. Step 6: Final answer
    x = 190,637.05

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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.