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Finding the Fourth Proportional to 106,957.50, 147,558.20 and 61,611.28

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Solution

The fourth proportional to 106,957.50, 147,558.20 and 61,611.28 is: 84,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,957.50 : 147,558.20 = 61,611.28 : x
  2. Step 2: Convert to fraction form
    106,957.50/147,558.20 = 61,611.28/x
  3. Step 3: Cross multiply
    106,957.50x = 147,558.20 × 61,611.28
  4. Step 4: Simplify right side
    106,957.50x = 9,091,249,576.50
  5. Step 5: Solve for x
    x = 9,091,249,576.50/106,957.50
  6. Step 6: Final answer
    x = 84,998.71

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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.