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Finding the Fourth Proportional to 176,803.96, 243,985.60 and 96,229.48

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Solution

The fourth proportional to 176,803.96, 243,985.60 and 96,229.48 is: 132,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,803.96 : 243,985.60 = 96,229.48 : x
  2. Step 2: Convert to fraction form
    176,803.96/243,985.60 = 96,229.48/x
  3. Step 3: Cross multiply
    176,803.96x = 243,985.60 × 96,229.48
  4. Step 4: Simplify right side
    176,803.96x = 23,478,607,415.49
  5. Step 5: Solve for x
    x = 23,478,607,415.49/176,803.96
  6. Step 6: Final answer
    x = 132,794.58

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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.