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Finding the Fourth Proportional to 164,671.76, 247,006.42 and 46,342.30

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Solution

The fourth proportional to 164,671.76, 247,006.42 and 46,342.30 is: 69,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,671.76 : 247,006.42 = 46,342.30 : x
  2. Step 2: Convert to fraction form
    164,671.76/247,006.42 = 46,342.30/x
  3. Step 3: Cross multiply
    164,671.76x = 247,006.42 × 46,342.30
  4. Step 4: Simplify right side
    164,671.76x = 11,446,845,617.57
  5. Step 5: Solve for x
    x = 11,446,845,617.57/164,671.76
  6. Step 6: Final answer
    x = 69,513.11

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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.