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Finding the Fourth Proportional to 180,883.74, 249,603.18 and 100,311

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Solution

The fourth proportional to 180,883.74, 249,603.18 and 100,311 is: 138,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,883.74 : 249,603.18 = 100,311 : x
  2. Step 2: Convert to fraction form
    180,883.74/249,603.18 = 100,311/x
  3. Step 3: Cross multiply
    180,883.74x = 249,603.18 × 100,311
  4. Step 4: Simplify right side
    180,883.74x = 25,037,944,588.98
  5. Step 5: Solve for x
    x = 25,037,944,588.98/180,883.74
  6. Step 6: Final answer
    x = 138,420.10

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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.