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Finding the Fourth Proportional to 146,549, 219,823.16 and 96,265.42

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Solution

The fourth proportional to 146,549, 219,823.16 and 96,265.42 is: 144,397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,549 : 219,823.16 = 96,265.42 : x
  2. Step 2: Convert to fraction form
    146,549/219,823.16 = 96,265.42/x
  3. Step 3: Cross multiply
    146,549x = 219,823.16 × 96,265.42
  4. Step 4: Simplify right side
    146,549x = 21,161,368,823.13
  5. Step 5: Solve for x
    x = 21,161,368,823.13/146,549
  6. Step 6: Final answer
    x = 144,397.91

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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.