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Finding the Fourth Proportional to 261,189.77, 391,784.58 and 172,422.45

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Solution

The fourth proportional to 261,189.77, 391,784.58 and 172,422.45 is: 258,633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,189.77 : 391,784.58 = 172,422.45 : x
  2. Step 2: Convert to fraction form
    261,189.77/391,784.58 = 172,422.45/x
  3. Step 3: Cross multiply
    261,189.77x = 391,784.58 × 172,422.45
  4. Step 4: Simplify right side
    261,189.77x = 67,552,457,155.82
  5. Step 5: Solve for x
    x = 67,552,457,155.82/261,189.77
  6. Step 6: Final answer
    x = 258,633.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.