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Finding the Fourth Proportional to 309,134.83, 426,610.50 and 180,070

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Solution

The fourth proportional to 309,134.83, 426,610.50 and 180,070 is: 248,499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,134.83 : 426,610.50 = 180,070 : x
  2. Step 2: Convert to fraction form
    309,134.83/426,610.50 = 180,070/x
  3. Step 3: Cross multiply
    309,134.83x = 426,610.50 × 180,070
  4. Step 4: Simplify right side
    309,134.83x = 76,819,752,735
  5. Step 5: Solve for x
    x = 76,819,752,735/309,134.83
  6. Step 6: Final answer
    x = 248,499.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.