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Finding the Fourth Proportional to 106,509.63, 146,948.97 and 70,706.56

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Solution

The fourth proportional to 106,509.63, 146,948.97 and 70,706.56 is: 97,552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,509.63 : 146,948.97 = 70,706.56 : x
  2. Step 2: Convert to fraction form
    106,509.63/146,948.97 = 70,706.56/x
  3. Step 3: Cross multiply
    106,509.63x = 146,948.97 × 70,706.56
  4. Step 4: Simplify right side
    106,509.63x = 10,390,256,961.38
  5. Step 5: Solve for x
    x = 10,390,256,961.38/106,509.63
  6. Step 6: Final answer
    x = 97,552.27

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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.