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Finding the Fourth Proportional to 254,858.92, 382,298.10 and 130,054.12

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Solution

The fourth proportional to 254,858.92, 382,298.10 and 130,054.12 is: 195,086.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,858.92 : 382,298.10 = 130,054.12 : x
  2. Step 2: Convert to fraction form
    254,858.92/382,298.10 = 130,054.12/x
  3. Step 3: Cross multiply
    254,858.92x = 382,298.10 × 130,054.12
  4. Step 4: Simplify right side
    254,858.92x = 49,719,442,973.17
  5. Step 5: Solve for x
    x = 49,719,442,973.17/254,858.92
  6. Step 6: Final answer
    x = 195,086.14

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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.