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Finding the Fourth Proportional to 164,799.81, 247,200.12 and 46,471.77

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Solution

The fourth proportional to 164,799.81, 247,200.12 and 46,471.77 is: 69,707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,799.81 : 247,200.12 = 46,471.77 : x
  2. Step 2: Convert to fraction form
    164,799.81/247,200.12 = 46,471.77/x
  3. Step 3: Cross multiply
    164,799.81x = 247,200.12 × 46,471.77
  4. Step 4: Simplify right side
    164,799.81x = 11,487,827,120.61
  5. Step 5: Solve for x
    x = 11,487,827,120.61/164,799.81
  6. Step 6: Final answer
    x = 69,707.77

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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.