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Finding the Fourth Proportional to 96,328.40, 144,233.40 and 75,419.60

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Solution

The fourth proportional to 96,328.40, 144,233.40 and 75,419.60 is: 112,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,328.40 : 144,233.40 = 75,419.60 : x
  2. Step 2: Convert to fraction form
    96,328.40/144,233.40 = 75,419.60/x
  3. Step 3: Cross multiply
    96,328.40x = 144,233.40 × 75,419.60
  4. Step 4: Simplify right side
    96,328.40x = 10,878,025,334.64
  5. Step 5: Solve for x
    x = 10,878,025,334.64/96,328.40
  6. Step 6: Final answer
    x = 112,926.46

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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.