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Finding the Fourth Proportional to 109,813.40, 164,720.10 and 96,691.40

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Solution

The fourth proportional to 109,813.40, 164,720.10 and 96,691.40 is: 145,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,813.40 : 164,720.10 = 96,691.40 : x
  2. Step 2: Convert to fraction form
    109,813.40/164,720.10 = 96,691.40/x
  3. Step 3: Cross multiply
    109,813.40x = 164,720.10 × 96,691.40
  4. Step 4: Simplify right side
    109,813.40x = 15,927,017,077.14
  5. Step 5: Solve for x
    x = 15,927,017,077.14/109,813.40
  6. Step 6: Final answer
    x = 145,037.10

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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.