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Finding the Fourth Proportional to 180,307.44, 249,078.78 and 164,147.76

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Solution

The fourth proportional to 180,307.44, 249,078.78 and 164,147.76 is: 226,755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,307.44 : 249,078.78 = 164,147.76 : x
  2. Step 2: Convert to fraction form
    180,307.44/249,078.78 = 164,147.76/x
  3. Step 3: Cross multiply
    180,307.44x = 249,078.78 × 164,147.76
  4. Step 4: Simplify right side
    180,307.44x = 40,885,723,800.53
  5. Step 5: Solve for x
    x = 40,885,723,800.53/180,307.44
  6. Step 6: Final answer
    x = 226,755.61

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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.