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Finding the Fourth Proportional to 266,646.96, 367,978.59 and 159,196.95

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Solution

The fourth proportional to 266,646.96, 367,978.59 and 159,196.95 is: 219,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,646.96 : 367,978.59 = 159,196.95 : x
  2. Step 2: Convert to fraction form
    266,646.96/367,978.59 = 159,196.95/x
  3. Step 3: Cross multiply
    266,646.96x = 367,978.59 × 159,196.95
  4. Step 4: Simplify right side
    266,646.96x = 58,581,069,193.30
  5. Step 5: Solve for x
    x = 58,581,069,193.30/266,646.96
  6. Step 6: Final answer
    x = 219,695.24

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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.