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Finding the Fourth Proportional to 150,516.90, 207,722.64 and 83,448.90

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Solution

The fourth proportional to 150,516.90, 207,722.64 and 83,448.90 is: 115,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,516.90 : 207,722.64 = 83,448.90 : x
  2. Step 2: Convert to fraction form
    150,516.90/207,722.64 = 83,448.90/x
  3. Step 3: Cross multiply
    150,516.90x = 207,722.64 × 83,448.90
  4. Step 4: Simplify right side
    150,516.90x = 17,334,225,813.10
  5. Step 5: Solve for x
    x = 17,334,225,813.10/150,516.90
  6. Step 6: Final answer
    x = 115,164.65

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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.