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Finding the Fourth Proportional to 180,768.54, 249,331.05 and 119,443.70

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Solution

The fourth proportional to 180,768.54, 249,331.05 and 119,443.70 is: 164,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,768.54 : 249,331.05 = 119,443.70 : x
  2. Step 2: Convert to fraction form
    180,768.54/249,331.05 = 119,443.70/x
  3. Step 3: Cross multiply
    180,768.54x = 249,331.05 × 119,443.70
  4. Step 4: Simplify right side
    180,768.54x = 29,781,023,136.89
  5. Step 5: Solve for x
    x = 29,781,023,136.89/180,768.54
  6. Step 6: Final answer
    x = 164,746.71

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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.