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Finding the Fourth Proportional to 255,322.08, 352,321.92 and 147,857.76

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Solution

The fourth proportional to 255,322.08, 352,321.92 and 147,857.76 is: 204,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,322.08 : 352,321.92 = 147,857.76 : x
  2. Step 2: Convert to fraction form
    255,322.08/352,321.92 = 147,857.76/x
  3. Step 3: Cross multiply
    255,322.08x = 352,321.92 × 147,857.76
  4. Step 4: Simplify right side
    255,322.08x = 52,093,529,890.10
  5. Step 5: Solve for x
    x = 52,093,529,890.10/255,322.08
  6. Step 6: Final answer
    x = 204,030.65

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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.