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Finding the Fourth Proportional to 338,129.68, 466,513.14 and 194,870.14

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Solution

The fourth proportional to 338,129.68, 466,513.14 and 194,870.14 is: 268,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,129.68 : 466,513.14 = 194,870.14 : x
  2. Step 2: Convert to fraction form
    338,129.68/466,513.14 = 194,870.14/x
  3. Step 3: Cross multiply
    338,129.68x = 466,513.14 × 194,870.14
  4. Step 4: Simplify right side
    338,129.68x = 90,909,480,903.64
  5. Step 5: Solve for x
    x = 90,909,480,903.64/338,129.68
  6. Step 6: Final answer
    x = 268,859.81

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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.