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Finding the Fourth Proportional to 102,666.50, 154,061.19 and 44,298.50

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Solution

The fourth proportional to 102,666.50, 154,061.19 and 44,298.50 is: 66,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,666.50 : 154,061.19 = 44,298.50 : x
  2. Step 2: Convert to fraction form
    102,666.50/154,061.19 = 44,298.50/x
  3. Step 3: Cross multiply
    102,666.50x = 154,061.19 × 44,298.50
  4. Step 4: Simplify right side
    102,666.50x = 6,824,679,625.22
  5. Step 5: Solve for x
    x = 6,824,679,625.22/102,666.50
  6. Step 6: Final answer
    x = 66,474.26

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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.