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Finding the Fourth Proportional to 180,785.52, 249,399.64 and 113,754.48

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Solution

The fourth proportional to 180,785.52, 249,399.64 and 113,754.48 is: 156,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,785.52 : 249,399.64 = 113,754.48 : x
  2. Step 2: Convert to fraction form
    180,785.52/249,399.64 = 113,754.48/x
  3. Step 3: Cross multiply
    180,785.52x = 249,399.64 × 113,754.48
  4. Step 4: Simplify right side
    180,785.52x = 28,370,326,360.39
  5. Step 5: Solve for x
    x = 28,370,326,360.39/180,785.52
  6. Step 6: Final answer
    x = 156,928.09

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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.