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Finding the Fourth Proportional to 102,088.66, 153,120.84 and 27,214.42

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Solution

The fourth proportional to 102,088.66, 153,120.84 and 27,214.42 is: 40,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,088.66 : 153,120.84 = 27,214.42 : x
  2. Step 2: Convert to fraction form
    102,088.66/153,120.84 = 27,214.42/x
  3. Step 3: Cross multiply
    102,088.66x = 153,120.84 × 27,214.42
  4. Step 4: Simplify right side
    102,088.66x = 4,167,094,850.51
  5. Step 5: Solve for x
    x = 4,167,094,850.51/102,088.66
  6. Step 6: Final answer
    x = 40,818.39

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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.