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Finding the Fourth Proportional to 139,218.70, 208,828.05 and 97,228.30

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Solution

The fourth proportional to 139,218.70, 208,828.05 and 97,228.30 is: 145,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,218.70 : 208,828.05 = 97,228.30 : x
  2. Step 2: Convert to fraction form
    139,218.70/208,828.05 = 97,228.30/x
  3. Step 3: Cross multiply
    139,218.70x = 208,828.05 × 97,228.30
  4. Step 4: Simplify right side
    139,218.70x = 20,303,996,293.82
  5. Step 5: Solve for x
    x = 20,303,996,293.82/139,218.70
  6. Step 6: Final answer
    x = 145,842.45

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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.