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Finding the Fourth Proportional to 164,992.64, 247,444.80 and 46,636.16

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Solution

The fourth proportional to 164,992.64, 247,444.80 and 46,636.16 is: 69,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,992.64 : 247,444.80 = 46,636.16 : x
  2. Step 2: Convert to fraction form
    164,992.64/247,444.80 = 46,636.16/x
  3. Step 3: Cross multiply
    164,992.64x = 247,444.80 × 46,636.16
  4. Step 4: Simplify right side
    164,992.64x = 11,539,875,283.97
  5. Step 5: Solve for x
    x = 11,539,875,283.97/164,992.64
  6. Step 6: Final answer
    x = 69,941.76

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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.