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Finding the Fourth Proportional to 164,856.94, 247,250.78 and 46,500.60

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Solution

The fourth proportional to 164,856.94, 247,250.78 and 46,500.60 is: 69,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,856.94 : 247,250.78 = 46,500.60 : x
  2. Step 2: Convert to fraction form
    164,856.94/247,250.78 = 46,500.60/x
  3. Step 3: Cross multiply
    164,856.94x = 247,250.78 × 46,500.60
  4. Step 4: Simplify right side
    164,856.94x = 11,497,308,151.71
  5. Step 5: Solve for x
    x = 11,497,308,151.71/164,856.94
  6. Step 6: Final answer
    x = 69,741.13

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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.