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Finding the Fourth Proportional to 109,074.60, 163,611.90 and 96,827.40

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Solution

The fourth proportional to 109,074.60, 163,611.90 and 96,827.40 is: 145,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,074.60 : 163,611.90 = 96,827.40 : x
  2. Step 2: Convert to fraction form
    109,074.60/163,611.90 = 96,827.40/x
  3. Step 3: Cross multiply
    109,074.60x = 163,611.90 × 96,827.40
  4. Step 4: Simplify right side
    109,074.60x = 15,842,114,886.06
  5. Step 5: Solve for x
    x = 15,842,114,886.06/109,074.60
  6. Step 6: Final answer
    x = 145,241.10

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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.