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Finding the Fourth Proportional to 260,091.24, 358,927.14 and 140,859.24

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Solution

The fourth proportional to 260,091.24, 358,927.14 and 140,859.24 is: 194,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,091.24 : 358,927.14 = 140,859.24 : x
  2. Step 2: Convert to fraction form
    260,091.24/358,927.14 = 140,859.24/x
  3. Step 3: Cross multiply
    260,091.24x = 358,927.14 × 140,859.24
  4. Step 4: Simplify right side
    260,091.24x = 50,558,204,155.77
  5. Step 5: Solve for x
    x = 50,558,204,155.77/260,091.24
  6. Step 6: Final answer
    x = 194,386.42

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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.