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Finding the Fourth Proportional to 145,601.80, 200,949.46 and 83,536.64

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Solution

The fourth proportional to 145,601.80, 200,949.46 and 83,536.64 is: 115,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,601.80 : 200,949.46 = 83,536.64 : x
  2. Step 2: Convert to fraction form
    145,601.80/200,949.46 = 83,536.64/x
  3. Step 3: Cross multiply
    145,601.80x = 200,949.46 × 83,536.64
  4. Step 4: Simplify right side
    145,601.80x = 16,786,642,803.36
  5. Step 5: Solve for x
    x = 16,786,642,803.36/145,601.80
  6. Step 6: Final answer
    x = 115,291.45

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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.