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Finding the Fourth Proportional to 140,518.26, 210,777.66 and 57,412.26

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Solution

The fourth proportional to 140,518.26, 210,777.66 and 57,412.26 is: 86,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,518.26 : 210,777.66 = 57,412.26 : x
  2. Step 2: Convert to fraction form
    140,518.26/210,777.66 = 57,412.26/x
  3. Step 3: Cross multiply
    140,518.26x = 210,777.66 × 57,412.26
  4. Step 4: Simplify right side
    140,518.26x = 12,101,221,818.11
  5. Step 5: Solve for x
    x = 12,101,221,818.11/140,518.26
  6. Step 6: Final answer
    x = 86,118.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.