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Finding the Fourth Proportional to 243,025.80, 364,538.70 and 85,197.30

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Solution

The fourth proportional to 243,025.80, 364,538.70 and 85,197.30 is: 127,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,025.80 : 364,538.70 = 85,197.30 : x
  2. Step 2: Convert to fraction form
    243,025.80/364,538.70 = 85,197.30/x
  3. Step 3: Cross multiply
    243,025.80x = 364,538.70 × 85,197.30
  4. Step 4: Simplify right side
    243,025.80x = 31,057,712,985.51
  5. Step 5: Solve for x
    x = 31,057,712,985.51/243,025.80
  6. Step 6: Final answer
    x = 127,795.95

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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.