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Finding the Fourth Proportional to 109,388.68, 164,108.84 and 42,810.93

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Solution

The fourth proportional to 109,388.68, 164,108.84 and 42,810.93 is: 64,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,388.68 : 164,108.84 = 42,810.93 : x
  2. Step 2: Convert to fraction form
    109,388.68/164,108.84 = 42,810.93/x
  3. Step 3: Cross multiply
    109,388.68x = 164,108.84 × 42,810.93
  4. Step 4: Simplify right side
    109,388.68x = 7,025,651,847.57
  5. Step 5: Solve for x
    x = 7,025,651,847.57/109,388.68
  6. Step 6: Final answer
    x = 64,226.50

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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.