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Finding the Fourth Proportional to 257,688.86, 386,533.26 and 151,234.80

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Solution

The fourth proportional to 257,688.86, 386,533.26 and 151,234.80 is: 226,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,688.86 : 386,533.26 = 151,234.80 : x
  2. Step 2: Convert to fraction form
    257,688.86/386,533.26 = 151,234.80/x
  3. Step 3: Cross multiply
    257,688.86x = 386,533.26 × 151,234.80
  4. Step 4: Simplify right side
    257,688.86x = 58,457,280,269.45
  5. Step 5: Solve for x
    x = 58,457,280,269.45/257,688.86
  6. Step 6: Final answer
    x = 226,852.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.