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Finding the Fourth Proportional to 255,313.32, 352,347.78 and 147,917.16

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Solution

The fourth proportional to 255,313.32, 352,347.78 and 147,917.16 is: 204,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,313.32 : 352,347.78 = 147,917.16 : x
  2. Step 2: Convert to fraction form
    255,313.32/352,347.78 = 147,917.16/x
  3. Step 3: Cross multiply
    255,313.32x = 352,347.78 × 147,917.16
  4. Step 4: Simplify right side
    255,313.32x = 52,118,282,949.90
  5. Step 5: Solve for x
    x = 52,118,282,949.90/255,313.32
  6. Step 6: Final answer
    x = 204,134.60

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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.