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Finding the Fourth Proportional to 219,506.67, 328,722.62 and 181,322.33

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Solution

The fourth proportional to 219,506.67, 328,722.62 and 181,322.33 is: 271,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,506.67 : 328,722.62 = 181,322.33 : x
  2. Step 2: Convert to fraction form
    219,506.67/328,722.62 = 181,322.33/x
  3. Step 3: Cross multiply
    219,506.67x = 328,722.62 × 181,322.33
  4. Step 4: Simplify right side
    219,506.67x = 59,604,748,831.88
  5. Step 5: Solve for x
    x = 59,604,748,831.88/219,506.67
  6. Step 6: Final answer
    x = 271,539.58

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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.