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Finding the Fourth Proportional to 131,523.84, 197,285.76 and 122,076

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Solution

The fourth proportional to 131,523.84, 197,285.76 and 122,076 is: 183,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,523.84 : 197,285.76 = 122,076 : x
  2. Step 2: Convert to fraction form
    131,523.84/197,285.76 = 122,076/x
  3. Step 3: Cross multiply
    131,523.84x = 197,285.76 × 122,076
  4. Step 4: Simplify right side
    131,523.84x = 24,083,856,437.76
  5. Step 5: Solve for x
    x = 24,083,856,437.76/131,523.84
  6. Step 6: Final answer
    x = 183,114.00

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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.