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Finding the Fourth Proportional to 176,403.86, 264,650.34 and 76,539.77

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Solution

The fourth proportional to 176,403.86, 264,650.34 and 76,539.77 is: 114,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,403.86 : 264,650.34 = 76,539.77 : x
  2. Step 2: Convert to fraction form
    176,403.86/264,650.34 = 76,539.77/x
  3. Step 3: Cross multiply
    176,403.86x = 264,650.34 × 76,539.77
  4. Step 4: Simplify right side
    176,403.86x = 20,256,276,154.02
  5. Step 5: Solve for x
    x = 20,256,276,154.02/176,403.86
  6. Step 6: Final answer
    x = 114,828.98

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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.