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Finding the Fourth Proportional to 106,963.51, 147,608.63 and 61,624.84

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Solution

The fourth proportional to 106,963.51, 147,608.63 and 61,624.84 is: 85,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,963.51 : 147,608.63 = 61,624.84 : x
  2. Step 2: Convert to fraction form
    106,963.51/147,608.63 = 61,624.84/x
  3. Step 3: Cross multiply
    106,963.51x = 147,608.63 × 61,624.84
  4. Step 4: Simplify right side
    106,963.51x = 9,096,357,837.35
  5. Step 5: Solve for x
    x = 9,096,357,837.35/106,963.51
  6. Step 6: Final answer
    x = 85,041.69

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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.