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Finding the Fourth Proportional to 109,810.40, 164,715.60 and 96,688.40

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Solution

The fourth proportional to 109,810.40, 164,715.60 and 96,688.40 is: 145,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,810.40 : 164,715.60 = 96,688.40 : x
  2. Step 2: Convert to fraction form
    109,810.40/164,715.60 = 96,688.40/x
  3. Step 3: Cross multiply
    109,810.40x = 164,715.60 × 96,688.40
  4. Step 4: Simplify right side
    109,810.40x = 15,926,087,819.04
  5. Step 5: Solve for x
    x = 15,926,087,819.04/109,810.40
  6. Step 6: Final answer
    x = 145,032.60

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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.