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Finding the Fourth Proportional to 140,888.75, 194,426.52 and 77,226.98

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Solution

The fourth proportional to 140,888.75, 194,426.52 and 77,226.98 is: 106,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,888.75 : 194,426.52 = 77,226.98 : x
  2. Step 2: Convert to fraction form
    140,888.75/194,426.52 = 77,226.98/x
  3. Step 3: Cross multiply
    140,888.75x = 194,426.52 × 77,226.98
  4. Step 4: Simplify right side
    140,888.75x = 15,014,972,971.51
  5. Step 5: Solve for x
    x = 15,014,972,971.51/140,888.75
  6. Step 6: Final answer
    x = 106,573.26

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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.