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Finding the Fourth Proportional to 102,206.70, 153,298.36 and 27,332.68

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Solution

The fourth proportional to 102,206.70, 153,298.36 and 27,332.68 is: 40,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,206.70 : 153,298.36 = 27,332.68 : x
  2. Step 2: Convert to fraction form
    102,206.70/153,298.36 = 27,332.68/x
  3. Step 3: Cross multiply
    102,206.70x = 153,298.36 × 27,332.68
  4. Step 4: Simplify right side
    102,206.70x = 4,190,055,018.40
  5. Step 5: Solve for x
    x = 4,190,055,018.40/102,206.70
  6. Step 6: Final answer
    x = 40,995.89

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