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Finding the Fourth Proportional to 106,996.34, 147,654.71 and 61,674.02

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Solution

The fourth proportional to 106,996.34, 147,654.71 and 61,674.02 is: 85,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,996.34 : 147,654.71 = 61,674.02 : x
  2. Step 2: Convert to fraction form
    106,996.34/147,654.71 = 61,674.02/x
  3. Step 3: Cross multiply
    106,996.34x = 147,654.71 × 61,674.02
  4. Step 4: Simplify right side
    106,996.34x = 9,106,458,490.99
  5. Step 5: Solve for x
    x = 9,106,458,490.99/106,996.34
  6. Step 6: Final answer
    x = 85,110.00

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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.