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Finding the Fourth Proportional to 176,782.50, 243,955.16 and 96,208.28

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Solution

The fourth proportional to 176,782.50, 243,955.16 and 96,208.28 is: 132,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,782.50 : 243,955.16 = 96,208.28 : x
  2. Step 2: Convert to fraction form
    176,782.50/243,955.16 = 96,208.28/x
  3. Step 3: Cross multiply
    176,782.50x = 243,955.16 × 96,208.28
  4. Step 4: Simplify right side
    176,782.50x = 23,470,506,340.72
  5. Step 5: Solve for x
    x = 23,470,506,340.72/176,782.50
  6. Step 6: Final answer
    x = 132,764.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.