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Finding the Fourth Proportional to 164,893.52, 247,358.44 and 52,547.60

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Solution

The fourth proportional to 164,893.52, 247,358.44 and 52,547.60 is: 78,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,893.52 : 247,358.44 = 52,547.60 : x
  2. Step 2: Convert to fraction form
    164,893.52/247,358.44 = 52,547.60/x
  3. Step 3: Cross multiply
    164,893.52x = 247,358.44 × 52,547.60
  4. Step 4: Simplify right side
    164,893.52x = 12,998,092,361.74
  5. Step 5: Solve for x
    x = 12,998,092,361.74/164,893.52
  6. Step 6: Final answer
    x = 78,827.19

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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.