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Finding the Fourth Proportional to 151,700.40, 209,347.20 and 83,716.20

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Solution

The fourth proportional to 151,700.40, 209,347.20 and 83,716.20 is: 115,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,700.40 : 209,347.20 = 83,716.20 : x
  2. Step 2: Convert to fraction form
    151,700.40/209,347.20 = 83,716.20/x
  3. Step 3: Cross multiply
    151,700.40x = 209,347.20 × 83,716.20
  4. Step 4: Simplify right side
    151,700.40x = 17,525,752,064.64
  5. Step 5: Solve for x
    x = 17,525,752,064.64/151,700.40
  6. Step 6: Final answer
    x = 115,528.71

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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.