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Finding the Fourth Proportional to 150,282.04, 207,389.14 and 83,214.04

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Solution

The fourth proportional to 150,282.04, 207,389.14 and 83,214.04 is: 114,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,282.04 : 207,389.14 = 83,214.04 : x
  2. Step 2: Convert to fraction form
    150,282.04/207,389.14 = 83,214.04/x
  3. Step 3: Cross multiply
    150,282.04x = 207,389.14 × 83,214.04
  4. Step 4: Simplify right side
    150,282.04x = 17,257,688,191.53
  5. Step 5: Solve for x
    x = 17,257,688,191.53/150,282.04
  6. Step 6: Final answer
    x = 114,835.33

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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.