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Finding the Fourth Proportional to 145,956.96, 218,968.23 and 46,123.14

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Solution

The fourth proportional to 145,956.96, 218,968.23 and 46,123.14 is: 69,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,956.96 : 218,968.23 = 46,123.14 : x
  2. Step 2: Convert to fraction form
    145,956.96/218,968.23 = 46,123.14/x
  3. Step 3: Cross multiply
    145,956.96x = 218,968.23 × 46,123.14
  4. Step 4: Simplify right side
    145,956.96x = 10,099,502,327.84
  5. Step 5: Solve for x
    x = 10,099,502,327.84/145,956.96
  6. Step 6: Final answer
    x = 69,195.07

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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.