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Finding the Fourth Proportional to 176,274.36, 264,562.74 and 71,168.76

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Solution

The fourth proportional to 176,274.36, 264,562.74 and 71,168.76 is: 106,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,274.36 : 264,562.74 = 71,168.76 : x
  2. Step 2: Convert to fraction form
    176,274.36/264,562.74 = 71,168.76/x
  3. Step 3: Cross multiply
    176,274.36x = 264,562.74 × 71,168.76
  4. Step 4: Simplify right side
    176,274.36x = 18,828,602,148.00
  5. Step 5: Solve for x
    x = 18,828,602,148.00/176,274.36
  6. Step 6: Final answer
    x = 106,814.19

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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.