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Finding the Fourth Proportional to 260,092.50, 358,927.65 and 140,860.50

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Solution

The fourth proportional to 260,092.50, 358,927.65 and 140,860.50 is: 194,387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,092.50 : 358,927.65 = 140,860.50 : x
  2. Step 2: Convert to fraction form
    260,092.50/358,927.65 = 140,860.50/x
  3. Step 3: Cross multiply
    260,092.50x = 358,927.65 × 140,860.50
  4. Step 4: Simplify right side
    260,092.50x = 50,558,728,242.83
  5. Step 5: Solve for x
    x = 50,558,728,242.83/260,092.50
  6. Step 6: Final answer
    x = 194,387.49

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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.