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Finding the Fourth Proportional to 242,525.46, 334,690.96 and 135,097.20

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Solution

The fourth proportional to 242,525.46, 334,690.96 and 135,097.20 is: 186,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,525.46 : 334,690.96 = 135,097.20 : x
  2. Step 2: Convert to fraction form
    242,525.46/334,690.96 = 135,097.20/x
  3. Step 3: Cross multiply
    242,525.46x = 334,690.96 × 135,097.20
  4. Step 4: Simplify right side
    242,525.46x = 45,215,811,561.31
  5. Step 5: Solve for x
    x = 45,215,811,561.31/242,525.46
  6. Step 6: Final answer
    x = 186,437.38

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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.