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Finding the Fourth Proportional to 176,893.28, 265,339.32 and 71,712

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Solution

The fourth proportional to 176,893.28, 265,339.32 and 71,712 is: 107,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,893.28 : 265,339.32 = 71,712 : x
  2. Step 2: Convert to fraction form
    176,893.28/265,339.32 = 71,712/x
  3. Step 3: Cross multiply
    176,893.28x = 265,339.32 × 71,712
  4. Step 4: Simplify right side
    176,893.28x = 19,028,013,315.84
  5. Step 5: Solve for x
    x = 19,028,013,315.84/176,893.28
  6. Step 6: Final answer
    x = 107,567.76

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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.