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Finding the Fourth Proportional to 176,165.16, 264,256.96 and 49,814.65

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Solution

The fourth proportional to 176,165.16, 264,256.96 and 49,814.65 is: 74,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,165.16 : 264,256.96 = 49,814.65 : x
  2. Step 2: Convert to fraction form
    176,165.16/264,256.96 = 49,814.65/x
  3. Step 3: Cross multiply
    176,165.16x = 264,256.96 × 49,814.65
  4. Step 4: Simplify right side
    176,165.16x = 13,163,866,402.11
  5. Step 5: Solve for x
    x = 13,163,866,402.11/176,165.16
  6. Step 6: Final answer
    x = 74,724.57

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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.