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Finding the Fourth Proportional to 176,463.90, 264,695.85 and 164,799.90

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Solution

The fourth proportional to 176,463.90, 264,695.85 and 164,799.90 is: 247,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,463.90 : 264,695.85 = 164,799.90 : x
  2. Step 2: Convert to fraction form
    176,463.90/264,695.85 = 164,799.90/x
  3. Step 3: Cross multiply
    176,463.90x = 264,695.85 × 164,799.90
  4. Step 4: Simplify right side
    176,463.90x = 43,621,849,610.42
  5. Step 5: Solve for x
    x = 43,621,849,610.42/176,463.90
  6. Step 6: Final answer
    x = 247,199.85

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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.