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Finding the Fourth Proportional to 302,073.78, 416,704.77 and 181,156.98

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Solution

The fourth proportional to 302,073.78, 416,704.77 and 181,156.98 is: 249,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,073.78 : 416,704.77 = 181,156.98 : x
  2. Step 2: Convert to fraction form
    302,073.78/416,704.77 = 181,156.98/x
  3. Step 3: Cross multiply
    302,073.78x = 416,704.77 × 181,156.98
  4. Step 4: Simplify right side
    302,073.78x = 75,488,977,684.79
  5. Step 5: Solve for x
    x = 75,488,977,684.79/302,073.78
  6. Step 6: Final answer
    x = 249,902.45

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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.