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Finding the Fourth Proportional to 180,896.77, 249,652.87 and 100,350.24

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Solution

The fourth proportional to 180,896.77, 249,652.87 and 100,350.24 is: 138,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,896.77 : 249,652.87 = 100,350.24 : x
  2. Step 2: Convert to fraction form
    180,896.77/249,652.87 = 100,350.24/x
  3. Step 3: Cross multiply
    180,896.77x = 249,652.87 × 100,350.24
  4. Step 4: Simplify right side
    180,896.77x = 25,052,725,421.19
  5. Step 5: Solve for x
    x = 25,052,725,421.19/180,896.77
  6. Step 6: Final answer
    x = 138,491.83

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1.5x scale

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.