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Finding the Fourth Proportional to 98,293.56, 147,208.86 and 64,930.86

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Solution

The fourth proportional to 98,293.56, 147,208.86 and 64,930.86 is: 97,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,293.56 : 147,208.86 = 64,930.86 : x
  2. Step 2: Convert to fraction form
    98,293.56/147,208.86 = 64,930.86/x
  3. Step 3: Cross multiply
    98,293.56x = 147,208.86 × 64,930.86
  4. Step 4: Simplify right side
    98,293.56x = 9,558,397,879.42
  5. Step 5: Solve for x
    x = 9,558,397,879.42/98,293.56
  6. Step 6: Final answer
    x = 97,243.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.