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Finding the Fourth Proportional to 176,112.29, 264,176.81 and 56,181.98

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Solution

The fourth proportional to 176,112.29, 264,176.81 and 56,181.98 is: 84,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,112.29 : 264,176.81 = 56,181.98 : x
  2. Step 2: Convert to fraction form
    176,112.29/264,176.81 = 56,181.98/x
  3. Step 3: Cross multiply
    176,112.29x = 264,176.81 × 56,181.98
  4. Step 4: Simplify right side
    176,112.29x = 14,841,975,974.97
  5. Step 5: Solve for x
    x = 14,841,975,974.97/176,112.29
  6. Step 6: Final answer
    x = 84,275.64

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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.