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Finding the Fourth Proportional to 152,338.96, 210,629.08 and 133,421.88

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Solution

The fourth proportional to 152,338.96, 210,629.08 and 133,421.88 is: 184,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,338.96 : 210,629.08 = 133,421.88 : x
  2. Step 2: Convert to fraction form
    152,338.96/210,629.08 = 133,421.88/x
  3. Step 3: Cross multiply
    152,338.96x = 210,629.08 × 133,421.88
  4. Step 4: Simplify right side
    152,338.96x = 28,102,527,836.27
  5. Step 5: Solve for x
    x = 28,102,527,836.27/152,338.96
  6. Step 6: Final answer
    x = 184,473.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.