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Finding the Fourth Proportional to 256,200.48, 353,269.08 and 165,437.28

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Solution

The fourth proportional to 256,200.48, 353,269.08 and 165,437.28 is: 228,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,200.48 : 353,269.08 = 165,437.28 : x
  2. Step 2: Convert to fraction form
    256,200.48/353,269.08 = 165,437.28/x
  3. Step 3: Cross multiply
    256,200.48x = 353,269.08 × 165,437.28
  4. Step 4: Simplify right side
    256,200.48x = 58,443,875,703.30
  5. Step 5: Solve for x
    x = 58,443,875,703.30/256,200.48
  6. Step 6: Final answer
    x = 228,117.74

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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.