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Finding the Fourth Proportional to 102,347.28, 153,491.76 and 64,850.76

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Solution

The fourth proportional to 102,347.28, 153,491.76 and 64,850.76 is: 97,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,347.28 : 153,491.76 = 64,850.76 : x
  2. Step 2: Convert to fraction form
    102,347.28/153,491.76 = 64,850.76/x
  3. Step 3: Cross multiply
    102,347.28x = 153,491.76 × 64,850.76
  4. Step 4: Simplify right side
    102,347.28x = 9,954,057,289.74
  5. Step 5: Solve for x
    x = 9,954,057,289.74/102,347.28
  6. Step 6: Final answer
    x = 97,257.66

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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.