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Finding the Fourth Proportional to 101,823.18, 152,536.09 and 66,656.22

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Solution

The fourth proportional to 101,823.18, 152,536.09 and 66,656.22 is: 99,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,823.18 : 152,536.09 = 66,656.22 : x
  2. Step 2: Convert to fraction form
    101,823.18/152,536.09 = 66,656.22/x
  3. Step 3: Cross multiply
    101,823.18x = 152,536.09 × 66,656.22
  4. Step 4: Simplify right side
    101,823.18x = 10,167,479,172.98
  5. Step 5: Solve for x
    x = 10,167,479,172.98/101,823.18
  6. Step 6: Final answer
    x = 99,854.27

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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.