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Finding the Fourth Proportional to 180,777.83, 249,491.29 and 100,220.92

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Solution

The fourth proportional to 180,777.83, 249,491.29 and 100,220.92 is: 138,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,777.83 : 249,491.29 = 100,220.92 : x
  2. Step 2: Convert to fraction form
    180,777.83/249,491.29 = 100,220.92/x
  3. Step 3: Cross multiply
    180,777.83x = 249,491.29 × 100,220.92
  4. Step 4: Simplify right side
    180,777.83x = 25,004,246,631.11
  5. Step 5: Solve for x
    x = 25,004,246,631.11/180,777.83
  6. Step 6: Final answer
    x = 138,314.79

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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.