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Finding the Fourth Proportional to 176,590.84, 264,803.10 and 64,192

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Solution

The fourth proportional to 176,590.84, 264,803.10 and 64,192 is: 96,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,590.84 : 264,803.10 = 64,192 : x
  2. Step 2: Convert to fraction form
    176,590.84/264,803.10 = 64,192/x
  3. Step 3: Cross multiply
    176,590.84x = 264,803.10 × 64,192
  4. Step 4: Simplify right side
    176,590.84x = 16,998,240,595.20
  5. Step 5: Solve for x
    x = 16,998,240,595.20/176,590.84
  6. Step 6: Final answer
    x = 96,257.77

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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.