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Finding the Fourth Proportional to 230,294.96, 317,807.69 and 133,517.58

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Solution

The fourth proportional to 230,294.96, 317,807.69 and 133,517.58 is: 184,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,294.96 : 317,807.69 = 133,517.58 : x
  2. Step 2: Convert to fraction form
    230,294.96/317,807.69 = 133,517.58/x
  3. Step 3: Cross multiply
    230,294.96x = 317,807.69 × 133,517.58
  4. Step 4: Simplify right side
    230,294.96x = 42,432,913,674.19
  5. Step 5: Solve for x
    x = 42,432,913,674.19/230,294.96
  6. Step 6: Final answer
    x = 184,254.63

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1.5x scale

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.