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Finding the Fourth Proportional to 299,102.64, 447,599.94 and 186,835.69

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Solution

The fourth proportional to 299,102.64, 447,599.94 and 186,835.69 is: 279,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,102.64 : 447,599.94 = 186,835.69 : x
  2. Step 2: Convert to fraction form
    299,102.64/447,599.94 = 186,835.69/x
  3. Step 3: Cross multiply
    299,102.64x = 447,599.94 × 186,835.69
  4. Step 4: Simplify right side
    299,102.64x = 83,627,643,633.86
  5. Step 5: Solve for x
    x = 83,627,643,633.86/299,102.64
  6. Step 6: Final answer
    x = 279,595.14

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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.