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Finding the Fourth Proportional to 145,901.52, 218,881.44 and 46,071

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Solution

The fourth proportional to 145,901.52, 218,881.44 and 46,071 is: 69,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,901.52 : 218,881.44 = 46,071 : x
  2. Step 2: Convert to fraction form
    145,901.52/218,881.44 = 46,071/x
  3. Step 3: Cross multiply
    145,901.52x = 218,881.44 × 46,071
  4. Step 4: Simplify right side
    145,901.52x = 10,084,086,822.24
  5. Step 5: Solve for x
    x = 10,084,086,822.24/145,901.52
  6. Step 6: Final answer
    x = 69,115.71

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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.