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Finding the Fourth Proportional to 145,163.04, 217,698.48 and 46,644

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Solution

The fourth proportional to 145,163.04, 217,698.48 and 46,644 is: 69,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,163.04 : 217,698.48 = 46,644 : x
  2. Step 2: Convert to fraction form
    145,163.04/217,698.48 = 46,644/x
  3. Step 3: Cross multiply
    145,163.04x = 217,698.48 × 46,644
  4. Step 4: Simplify right side
    145,163.04x = 10,154,327,901.12
  5. Step 5: Solve for x
    x = 10,154,327,901.12/145,163.04
  6. Step 6: Final answer
    x = 69,951.19

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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.