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Finding the Fourth Proportional to 165,999.30, 249,258.15 and 96,015.30

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Solution

The fourth proportional to 165,999.30, 249,258.15 and 96,015.30 is: 144,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,999.30 : 249,258.15 = 96,015.30 : x
  2. Step 2: Convert to fraction form
    165,999.30/249,258.15 = 96,015.30/x
  3. Step 3: Cross multiply
    165,999.30x = 249,258.15 × 96,015.30
  4. Step 4: Simplify right side
    165,999.30x = 23,932,596,049.70
  5. Step 5: Solve for x
    x = 23,932,596,049.70/165,999.30
  6. Step 6: Final answer
    x = 144,172.87

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1.5x scale

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.