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Finding the Fourth Proportional to 216,088.40, 323,873.40 and 110,853.20

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Solution

The fourth proportional to 216,088.40, 323,873.40 and 110,853.20 is: 166,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,088.40 : 323,873.40 = 110,853.20 : x
  2. Step 2: Convert to fraction form
    216,088.40/323,873.40 = 110,853.20/x
  3. Step 3: Cross multiply
    216,088.40x = 323,873.40 × 110,853.20
  4. Step 4: Simplify right side
    216,088.40x = 35,902,402,784.88
  5. Step 5: Solve for x
    x = 35,902,402,784.88/216,088.40
  6. Step 6: Final answer
    x = 166,146.83

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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.