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Finding the Fourth Proportional to 176,714.52, 265,025.25 and 120,544.17

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Solution

The fourth proportional to 176,714.52, 265,025.25 and 120,544.17 is: 180,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,714.52 : 265,025.25 = 120,544.17 : x
  2. Step 2: Convert to fraction form
    176,714.52/265,025.25 = 120,544.17/x
  3. Step 3: Cross multiply
    176,714.52x = 265,025.25 × 120,544.17
  4. Step 4: Simplify right side
    176,714.52x = 31,947,248,790.29
  5. Step 5: Solve for x
    x = 31,947,248,790.29/176,714.52
  6. Step 6: Final answer
    x = 180,784.51

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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.