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Finding the Fourth Proportional to 102,084.66, 153,114.84 and 27,210.42

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Solution

The fourth proportional to 102,084.66, 153,114.84 and 27,210.42 is: 40,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,084.66 : 153,114.84 = 27,210.42 : x
  2. Step 2: Convert to fraction form
    102,084.66/153,114.84 = 27,210.42/x
  3. Step 3: Cross multiply
    102,084.66x = 153,114.84 × 27,210.42
  4. Step 4: Simplify right side
    102,084.66x = 4,166,319,104.63
  5. Step 5: Solve for x
    x = 4,166,319,104.63/102,084.66
  6. Step 6: Final answer
    x = 40,812.39

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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.