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Finding the Fourth Proportional to 102,222.95, 153,359.93 and 35,663.63

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Solution

The fourth proportional to 102,222.95, 153,359.93 and 35,663.63 is: 53,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,222.95 : 153,359.93 = 35,663.63 : x
  2. Step 2: Convert to fraction form
    102,222.95/153,359.93 = 35,663.63/x
  3. Step 3: Cross multiply
    102,222.95x = 153,359.93 × 35,663.63
  4. Step 4: Simplify right side
    102,222.95x = 5,469,371,122.71
  5. Step 5: Solve for x
    x = 5,469,371,122.71/102,222.95
  6. Step 6: Final answer
    x = 53,504.34

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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.