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Finding the Fourth Proportional to 106,681.72, 147,224.98 and 61,359.63

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Solution

The fourth proportional to 106,681.72, 147,224.98 and 61,359.63 is: 84,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,681.72 : 147,224.98 = 61,359.63 : x
  2. Step 2: Convert to fraction form
    106,681.72/147,224.98 = 61,359.63/x
  3. Step 3: Cross multiply
    106,681.72x = 147,224.98 × 61,359.63
  4. Step 4: Simplify right side
    106,681.72x = 9,033,669,563.43
  5. Step 5: Solve for x
    x = 9,033,669,563.43/106,681.72
  6. Step 6: Final answer
    x = 84,678.71

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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.