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Finding the Fourth Proportional to 176,219.64, 242,847.90 and 172,981.08

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Solution

The fourth proportional to 176,219.64, 242,847.90 and 172,981.08 is: 238,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,219.64 : 242,847.90 = 172,981.08 : x
  2. Step 2: Convert to fraction form
    176,219.64/242,847.90 = 172,981.08/x
  3. Step 3: Cross multiply
    176,219.64x = 242,847.90 × 172,981.08
  4. Step 4: Simplify right side
    176,219.64x = 42,008,092,017.73
  5. Step 5: Solve for x
    x = 42,008,092,017.73/176,219.64
  6. Step 6: Final answer
    x = 238,384.85

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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.