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Finding the Fourth Proportional to 150,522.90, 207,730.92 and 83,454.90

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Solution

The fourth proportional to 150,522.90, 207,730.92 and 83,454.90 is: 115,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,522.90 : 207,730.92 = 83,454.90 : x
  2. Step 2: Convert to fraction form
    150,522.90/207,730.92 = 83,454.90/x
  3. Step 3: Cross multiply
    150,522.90x = 207,730.92 × 83,454.90
  4. Step 4: Simplify right side
    150,522.90x = 17,336,163,155.51
  5. Step 5: Solve for x
    x = 17,336,163,155.51/150,522.90
  6. Step 6: Final answer
    x = 115,172.93

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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.