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Finding the Fourth Proportional to 144,525.60, 216,496.80 and 97,286.40

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Solution

The fourth proportional to 144,525.60, 216,496.80 and 97,286.40 is: 145,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,525.60 : 216,496.80 = 97,286.40 : x
  2. Step 2: Convert to fraction form
    144,525.60/216,496.80 = 97,286.40/x
  3. Step 3: Cross multiply
    144,525.60x = 216,496.80 × 97,286.40
  4. Step 4: Simplify right side
    144,525.60x = 21,062,194,283.52
  5. Step 5: Solve for x
    x = 21,062,194,283.52/144,525.60
  6. Step 6: Final answer
    x = 145,733.31

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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.