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Finding the Fourth Proportional to 115,929.54, 159,973.68 and 64,938.30

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Solution

The fourth proportional to 115,929.54, 159,973.68 and 64,938.30 is: 89,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,929.54 : 159,973.68 = 64,938.30 : x
  2. Step 2: Convert to fraction form
    115,929.54/159,973.68 = 64,938.30/x
  3. Step 3: Cross multiply
    115,929.54x = 159,973.68 × 64,938.30
  4. Step 4: Simplify right side
    115,929.54x = 10,388,418,823.94
  5. Step 5: Solve for x
    x = 10,388,418,823.94/115,929.54
  6. Step 6: Final answer
    x = 89,609.76

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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.