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Finding the Fourth Proportional to 106,934.82, 147,602.89 and 61,643.07

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Solution

The fourth proportional to 106,934.82, 147,602.89 and 61,643.07 is: 85,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,934.82 : 147,602.89 = 61,643.07 : x
  2. Step 2: Convert to fraction form
    106,934.82/147,602.89 = 61,643.07/x
  3. Step 3: Cross multiply
    106,934.82x = 147,602.89 × 61,643.07
  4. Step 4: Simplify right side
    106,934.82x = 9,098,695,357.53
  5. Step 5: Solve for x
    x = 9,098,695,357.53/106,934.82
  6. Step 6: Final answer
    x = 85,086.37

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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.