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Finding the Fourth Proportional to 178,017, 245,690.94 and 101,536.26

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Solution

The fourth proportional to 178,017, 245,690.94 and 101,536.26 is: 140,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,017 : 245,690.94 = 101,536.26 : x
  2. Step 2: Convert to fraction form
    178,017/245,690.94 = 101,536.26/x
  3. Step 3: Cross multiply
    178,017x = 245,690.94 × 101,536.26
  4. Step 4: Simplify right side
    178,017x = 24,946,539,163.48
  5. Step 5: Solve for x
    x = 24,946,539,163.48/178,017
  6. Step 6: Final answer
    x = 140,135.71

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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.