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Finding the Fourth Proportional to 145,963.63, 218,944.13 and 46,123.84

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Solution

The fourth proportional to 145,963.63, 218,944.13 and 46,123.84 is: 69,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,963.63 : 218,944.13 = 46,123.84 : x
  2. Step 2: Convert to fraction form
    145,963.63/218,944.13 = 46,123.84/x
  3. Step 3: Cross multiply
    145,963.63x = 218,944.13 × 46,123.84
  4. Step 4: Simplify right side
    145,963.63x = 10,098,542,926.34
  5. Step 5: Solve for x
    x = 10,098,542,926.34/145,963.63
  6. Step 6: Final answer
    x = 69,185.34

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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.