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Finding the Fourth Proportional to 176,935.28, 265,447.86 and 52,276.28

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Solution

The fourth proportional to 176,935.28, 265,447.86 and 52,276.28 is: 78,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,935.28 : 265,447.86 = 52,276.28 : x
  2. Step 2: Convert to fraction form
    176,935.28/265,447.86 = 52,276.28/x
  3. Step 3: Cross multiply
    176,935.28x = 265,447.86 × 52,276.28
  4. Step 4: Simplify right side
    176,935.28x = 13,876,626,654.76
  5. Step 5: Solve for x
    x = 13,876,626,654.76/176,935.28
  6. Step 6: Final answer
    x = 78,427.70

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Why These Related Problems?

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