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Finding the Fourth Proportional to 147,307.94, 203,286.34 and 83,647.08

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Solution

The fourth proportional to 147,307.94, 203,286.34 and 83,647.08 is: 115,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,307.94 : 203,286.34 = 83,647.08 : x
  2. Step 2: Convert to fraction form
    147,307.94/203,286.34 = 83,647.08/x
  3. Step 3: Cross multiply
    147,307.94x = 203,286.34 × 83,647.08
  4. Step 4: Simplify right side
    147,307.94x = 17,004,308,744.89
  5. Step 5: Solve for x
    x = 17,004,308,744.89/147,307.94
  6. Step 6: Final answer
    x = 115,433.76

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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.