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Finding the Fourth Proportional to 144,152.16, 216,198.18 and 38,946.48

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Solution

The fourth proportional to 144,152.16, 216,198.18 and 38,946.48 is: 58,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,152.16 : 216,198.18 = 38,946.48 : x
  2. Step 2: Convert to fraction form
    144,152.16/216,198.18 = 38,946.48/x
  3. Step 3: Cross multiply
    144,152.16x = 216,198.18 × 38,946.48
  4. Step 4: Simplify right side
    144,152.16x = 8,420,158,093.41
  5. Step 5: Solve for x
    x = 8,420,158,093.41/144,152.16
  6. Step 6: Final answer
    x = 58,411.60

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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.