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Finding the Fourth Proportional to 96,342.40, 144,254.40 and 75,433.60

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Solution

The fourth proportional to 96,342.40, 144,254.40 and 75,433.60 is: 112,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,342.40 : 144,254.40 = 75,433.60 : x
  2. Step 2: Convert to fraction form
    96,342.40/144,254.40 = 75,433.60/x
  3. Step 3: Cross multiply
    96,342.40x = 144,254.40 × 75,433.60
  4. Step 4: Simplify right side
    96,342.40x = 10,881,628,707.84
  5. Step 5: Solve for x
    x = 10,881,628,707.84/96,342.40
  6. Step 6: Final answer
    x = 112,947.45

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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.