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Finding the Fourth Proportional to 180,471.14, 249,047.14 and 99,896.94

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Solution

The fourth proportional to 180,471.14, 249,047.14 and 99,896.94 is: 137,856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,471.14 : 249,047.14 = 99,896.94 : x
  2. Step 2: Convert to fraction form
    180,471.14/249,047.14 = 99,896.94/x
  3. Step 3: Cross multiply
    180,471.14x = 249,047.14 × 99,896.94
  4. Step 4: Simplify right side
    180,471.14x = 24,879,047,201.75
  5. Step 5: Solve for x
    x = 24,879,047,201.75/180,471.14
  6. Step 6: Final answer
    x = 137,856.10

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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.