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Finding the Fourth Proportional to 301,263.81, 415,730.02 and 165,294.69

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Solution

The fourth proportional to 301,263.81, 415,730.02 and 165,294.69 is: 228,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,263.81 : 415,730.02 = 165,294.69 : x
  2. Step 2: Convert to fraction form
    301,263.81/415,730.02 = 165,294.69/x
  3. Step 3: Cross multiply
    301,263.81x = 415,730.02 × 165,294.69
  4. Step 4: Simplify right side
    301,263.81x = 68,717,964,779.59
  5. Step 5: Solve for x
    x = 68,717,964,779.59/301,263.81
  6. Step 6: Final answer
    x = 228,098.97

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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.