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Finding the Fourth Proportional to 230,752.26, 318,411 and 133,933.77

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Solution

The fourth proportional to 230,752.26, 318,411 and 133,933.77 is: 184,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,752.26 : 318,411 = 133,933.77 : x
  2. Step 2: Convert to fraction form
    230,752.26/318,411 = 133,933.77/x
  3. Step 3: Cross multiply
    230,752.26x = 318,411 × 133,933.77
  4. Step 4: Simplify right side
    230,752.26x = 42,645,985,639.47
  5. Step 5: Solve for x
    x = 42,645,985,639.47/230,752.26
  6. Step 6: Final answer
    x = 184,812.86

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