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Finding the Fourth Proportional to 256,089.96, 353,402.10 and 148,669.96

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Solution

The fourth proportional to 256,089.96, 353,402.10 and 148,669.96 is: 205,163.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,089.96 : 353,402.10 = 148,669.96 : x
  2. Step 2: Convert to fraction form
    256,089.96/353,402.10 = 148,669.96/x
  3. Step 3: Cross multiply
    256,089.96x = 353,402.10 × 148,669.96
  4. Step 4: Simplify right side
    256,089.96x = 52,540,276,070.92
  5. Step 5: Solve for x
    x = 52,540,276,070.92/256,089.96
  6. Step 6: Final answer
    x = 205,163.36

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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.