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Finding the Fourth Proportional to 102,219.84, 153,005.76 and 74,044.80

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Solution

The fourth proportional to 102,219.84, 153,005.76 and 74,044.80 is: 110,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,219.84 : 153,005.76 = 74,044.80 : x
  2. Step 2: Convert to fraction form
    102,219.84/153,005.76 = 74,044.80/x
  3. Step 3: Cross multiply
    102,219.84x = 153,005.76 × 74,044.80
  4. Step 4: Simplify right side
    102,219.84x = 11,329,280,898.05
  5. Step 5: Solve for x
    x = 11,329,280,898.05/102,219.84
  6. Step 6: Final answer
    x = 110,832.50

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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.