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Finding the Fourth Proportional to 144,016.10, 216,024.15 and 102,025.70

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Solution

The fourth proportional to 144,016.10, 216,024.15 and 102,025.70 is: 153,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,016.10 : 216,024.15 = 102,025.70 : x
  2. Step 2: Convert to fraction form
    144,016.10/216,024.15 = 102,025.70/x
  3. Step 3: Cross multiply
    144,016.10x = 216,024.15 × 102,025.70
  4. Step 4: Simplify right side
    144,016.10x = 22,040,015,120.66
  5. Step 5: Solve for x
    x = 22,040,015,120.66/144,016.10
  6. Step 6: Final answer
    x = 153,038.55

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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.