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Finding the Fourth Proportional to 255,997.36, 353,276.58 and 142,820.14

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Solution

The fourth proportional to 255,997.36, 353,276.58 and 142,820.14 is: 197,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,997.36 : 353,276.58 = 142,820.14 : x
  2. Step 2: Convert to fraction form
    255,997.36/353,276.58 = 142,820.14/x
  3. Step 3: Cross multiply
    255,997.36x = 353,276.58 × 142,820.14
  4. Step 4: Simplify right side
    255,997.36x = 50,455,010,614.32
  5. Step 5: Solve for x
    x = 50,455,010,614.32/255,997.36
  6. Step 6: Final answer
    x = 197,091.92

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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.