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Finding the Fourth Proportional to 101,782.36, 140,465.10 and 59,338.36

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Solution

The fourth proportional to 101,782.36, 140,465.10 and 59,338.36 is: 81,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,782.36 : 140,465.10 = 59,338.36 : x
  2. Step 2: Convert to fraction form
    101,782.36/140,465.10 = 59,338.36/x
  3. Step 3: Cross multiply
    101,782.36x = 140,465.10 × 59,338.36
  4. Step 4: Simplify right side
    101,782.36x = 8,334,968,671.24
  5. Step 5: Solve for x
    x = 8,334,968,671.24/101,782.36
  6. Step 6: Final answer
    x = 81,890.11

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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.