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Finding the Fourth Proportional to 210,221.77, 290,421.99 and 137,796.58

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Solution

The fourth proportional to 210,221.77, 290,421.99 and 137,796.58 is: 190,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,221.77 : 290,421.99 = 137,796.58 : x
  2. Step 2: Convert to fraction form
    210,221.77/290,421.99 = 137,796.58/x
  3. Step 3: Cross multiply
    210,221.77x = 290,421.99 × 137,796.58
  4. Step 4: Simplify right side
    210,221.77x = 40,019,156,978.79
  5. Step 5: Solve for x
    x = 40,019,156,978.79/210,221.77
  6. Step 6: Final answer
    x = 190,366.38

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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.