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Finding the Fourth Proportional to 145,944.59, 218,911.01 and 46,110.47

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Solution

The fourth proportional to 145,944.59, 218,911.01 and 46,110.47 is: 69,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,944.59 : 218,911.01 = 46,110.47 : x
  2. Step 2: Convert to fraction form
    145,944.59/218,911.01 = 46,110.47/x
  3. Step 3: Cross multiply
    145,944.59x = 218,911.01 × 46,110.47
  4. Step 4: Simplify right side
    145,944.59x = 10,094,088,234.17
  5. Step 5: Solve for x
    x = 10,094,088,234.17/145,944.59
  6. Step 6: Final answer
    x = 69,163.84

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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.