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Finding the Fourth Proportional to 109,875.42, 164,642.63 and 76,207.16

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Solution

The fourth proportional to 109,875.42, 164,642.63 and 76,207.16 is: 114,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,875.42 : 164,642.63 = 76,207.16 : x
  2. Step 2: Convert to fraction form
    109,875.42/164,642.63 = 76,207.16/x
  3. Step 3: Cross multiply
    109,875.42x = 164,642.63 × 76,207.16
  4. Step 4: Simplify right side
    109,875.42x = 12,546,947,277.80
  5. Step 5: Solve for x
    x = 12,546,947,277.80/109,875.42
  6. Step 6: Final answer
    x = 114,192.49

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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.