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Finding the Fourth Proportional to 144,143.68, 216,040.04 and 102,035.69

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Solution

The fourth proportional to 144,143.68, 216,040.04 and 102,035.69 is: 152,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,143.68 : 216,040.04 = 102,035.69 : x
  2. Step 2: Convert to fraction form
    144,143.68/216,040.04 = 102,035.69/x
  3. Step 3: Cross multiply
    144,143.68x = 216,040.04 × 102,035.69
  4. Step 4: Simplify right side
    144,143.68x = 22,043,794,038.85
  5. Step 5: Solve for x
    x = 22,043,794,038.85/144,143.68
  6. Step 6: Final answer
    x = 152,929.32

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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.