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Finding the Fourth Proportional to 176,951.94, 265,400.46 and 97,029.24

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Solution

The fourth proportional to 176,951.94, 265,400.46 and 97,029.24 is: 145,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,951.94 : 265,400.46 = 97,029.24 : x
  2. Step 2: Convert to fraction form
    176,951.94/265,400.46 = 97,029.24/x
  3. Step 3: Cross multiply
    176,951.94x = 265,400.46 × 97,029.24
  4. Step 4: Simplify right side
    176,951.94x = 25,751,604,929.45
  5. Step 5: Solve for x
    x = 25,751,604,929.45/176,951.94
  6. Step 6: Final answer
    x = 145,528.81

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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.