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Finding the Fourth Proportional to 176,455.86, 264,617.55 and 64,108.32

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Solution

The fourth proportional to 176,455.86, 264,617.55 and 64,108.32 is: 96,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,455.86 : 264,617.55 = 64,108.32 : x
  2. Step 2: Convert to fraction form
    176,455.86/264,617.55 = 64,108.32/x
  3. Step 3: Cross multiply
    176,455.86x = 264,617.55 × 64,108.32
  4. Step 4: Simplify right side
    176,455.86x = 16,964,186,573.02
  5. Step 5: Solve for x
    x = 16,964,186,573.02/176,455.86
  6. Step 6: Final answer
    x = 96,138.41

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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.