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Finding the Fourth Proportional to 164,783.73, 247,153.73 and 46,464.60

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Solution

The fourth proportional to 164,783.73, 247,153.73 and 46,464.60 is: 69,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,783.73 : 247,153.73 = 46,464.60 : x
  2. Step 2: Convert to fraction form
    164,783.73/247,153.73 = 46,464.60/x
  3. Step 3: Cross multiply
    164,783.73x = 247,153.73 × 46,464.60
  4. Step 4: Simplify right side
    164,783.73x = 11,483,898,970.64
  5. Step 5: Solve for x
    x = 11,483,898,970.64/164,783.73
  6. Step 6: Final answer
    x = 69,690.73

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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.