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Finding the Fourth Proportional to 182,578.35, 251,953.47 and 102,006.48

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Solution

The fourth proportional to 182,578.35, 251,953.47 and 102,006.48 is: 140,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,578.35 : 251,953.47 = 102,006.48 : x
  2. Step 2: Convert to fraction form
    182,578.35/251,953.47 = 102,006.48/x
  3. Step 3: Cross multiply
    182,578.35x = 251,953.47 × 102,006.48
  4. Step 4: Simplify right side
    182,578.35x = 25,700,885,417.45
  5. Step 5: Solve for x
    x = 25,700,885,417.45/182,578.35
  6. Step 6: Final answer
    x = 140,766.34

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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.