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Finding the Fourth Proportional to 106,957, 147,270.96 and 94,999.58

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Solution

The fourth proportional to 106,957, 147,270.96 and 94,999.58 is: 130,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,957 : 147,270.96 = 94,999.58 : x
  2. Step 2: Convert to fraction form
    106,957/147,270.96 = 94,999.58/x
  3. Step 3: Cross multiply
    106,957x = 147,270.96 × 94,999.58
  4. Step 4: Simplify right side
    106,957x = 13,990,679,346.20
  5. Step 5: Solve for x
    x = 13,990,679,346.20/106,957
  6. Step 6: Final answer
    x = 130,806.58

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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.