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Finding the Fourth Proportional to 151,797.12, 209,477.58 and 83,821.11

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Solution

The fourth proportional to 151,797.12, 209,477.58 and 83,821.11 is: 115,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,797.12 : 209,477.58 = 83,821.11 : x
  2. Step 2: Convert to fraction form
    151,797.12/209,477.58 = 83,821.11/x
  3. Step 3: Cross multiply
    151,797.12x = 209,477.58 × 83,821.11
  4. Step 4: Simplify right side
    151,797.12x = 17,558,643,275.71
  5. Step 5: Solve for x
    x = 17,558,643,275.71/151,797.12
  6. Step 6: Final answer
    x = 115,671.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.