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Finding the Fourth Proportional to 150,362.16, 207,506.52 and 83,289.84

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Solution

The fourth proportional to 150,362.16, 207,506.52 and 83,289.84 is: 114,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,362.16 : 207,506.52 = 83,289.84 : x
  2. Step 2: Convert to fraction form
    150,362.16/207,506.52 = 83,289.84/x
  3. Step 3: Cross multiply
    150,362.16x = 207,506.52 × 83,289.84
  4. Step 4: Simplify right side
    150,362.16x = 17,283,184,849.76
  5. Step 5: Solve for x
    x = 17,283,184,849.76/150,362.16
  6. Step 6: Final answer
    x = 114,943.71

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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.