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Finding the Fourth Proportional to 109,242.84, 163,824.56 and 38,145.50

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Solution

The fourth proportional to 109,242.84, 163,824.56 and 38,145.50 is: 57,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242.84 : 163,824.56 = 38,145.50 : x
  2. Step 2: Convert to fraction form
    109,242.84/163,824.56 = 38,145.50/x
  3. Step 3: Cross multiply
    109,242.84x = 163,824.56 × 38,145.50
  4. Step 4: Simplify right side
    109,242.84x = 6,249,169,753.48
  5. Step 5: Solve for x
    x = 6,249,169,753.48/109,242.84
  6. Step 6: Final answer
    x = 57,204.39

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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.