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Finding the Fourth Proportional to 254,854.50, 382,327.86 and 105,011.46

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Solution

The fourth proportional to 254,854.50, 382,327.86 and 105,011.46 is: 157,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,854.50 : 382,327.86 = 105,011.46 : x
  2. Step 2: Convert to fraction form
    254,854.50/382,327.86 = 105,011.46/x
  3. Step 3: Cross multiply
    254,854.50x = 382,327.86 × 105,011.46
  4. Step 4: Simplify right side
    254,854.50x = 40,148,806,777.28
  5. Step 5: Solve for x
    x = 40,148,806,777.28/254,854.50
  6. Step 6: Final answer
    x = 157,536.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.