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Finding the Fourth Proportional to 301,848.66, 416,553.12 and 165,893.81

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Solution

The fourth proportional to 301,848.66, 416,553.12 and 165,893.81 is: 228,934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,848.66 : 416,553.12 = 165,893.81 : x
  2. Step 2: Convert to fraction form
    301,848.66/416,553.12 = 165,893.81/x
  3. Step 3: Cross multiply
    301,848.66x = 416,553.12 × 165,893.81
  4. Step 4: Simplify right side
    301,848.66x = 69,103,582,061.42
  5. Step 5: Solve for x
    x = 69,103,582,061.42/301,848.66
  6. Step 6: Final answer
    x = 228,934.53

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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.