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Finding the Fourth Proportional to 255,899.48, 353,027.10 and 148,407.32

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Solution

The fourth proportional to 255,899.48, 353,027.10 and 148,407.32 is: 204,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,899.48 : 353,027.10 = 148,407.32 : x
  2. Step 2: Convert to fraction form
    255,899.48/353,027.10 = 148,407.32/x
  3. Step 3: Cross multiply
    255,899.48x = 353,027.10 × 148,407.32
  4. Step 4: Simplify right side
    255,899.48x = 52,391,805,798.37
  5. Step 5: Solve for x
    x = 52,391,805,798.37/255,899.48
  6. Step 6: Final answer
    x = 204,735.88

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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.