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Finding the Fourth Proportional to 102,014.20, 153,009.12 and 27,139.84

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Solution

The fourth proportional to 102,014.20, 153,009.12 and 27,139.84 is: 40,706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,014.20 : 153,009.12 = 27,139.84 : x
  2. Step 2: Convert to fraction form
    102,014.20/153,009.12 = 27,139.84/x
  3. Step 3: Cross multiply
    102,014.20x = 153,009.12 × 27,139.84
  4. Step 4: Simplify right side
    102,014.20x = 4,152,643,035.34
  5. Step 5: Solve for x
    x = 4,152,643,035.34/102,014.20
  6. Step 6: Final answer
    x = 40,706.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.