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Finding the Fourth Proportional to 144,092.92, 216,215.52 and 102,243.48

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Solution

The fourth proportional to 144,092.92, 216,215.52 and 102,243.48 is: 153,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,092.92 : 216,215.52 = 102,243.48 : x
  2. Step 2: Convert to fraction form
    144,092.92/216,215.52 = 102,243.48/x
  3. Step 3: Cross multiply
    144,092.92x = 216,215.52 × 102,243.48
  4. Step 4: Simplify right side
    144,092.92x = 22,106,627,194.81
  5. Step 5: Solve for x
    x = 22,106,627,194.81/144,092.92
  6. Step 6: Final answer
    x = 153,419.25

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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.