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Finding the Fourth Proportional to 257,967.59, 386,826.84 and 108,167.50

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Solution

The fourth proportional to 257,967.59, 386,826.84 and 108,167.50 is: 162,199.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,967.59 : 386,826.84 = 108,167.50 : x
  2. Step 2: Convert to fraction form
    257,967.59/386,826.84 = 108,167.50/x
  3. Step 3: Cross multiply
    257,967.59x = 386,826.84 × 108,167.50
  4. Step 4: Simplify right side
    257,967.59x = 41,842,092,699.23
  5. Step 5: Solve for x
    x = 41,842,092,699.23/257,967.59
  6. Step 6: Final answer
    x = 162,199.03

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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.