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Finding the Fourth Proportional to 153,921, 230,713.38 and 97,786.20

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Solution

The fourth proportional to 153,921, 230,713.38 and 97,786.20 is: 146,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,921 : 230,713.38 = 97,786.20 : x
  2. Step 2: Convert to fraction form
    153,921/230,713.38 = 97,786.20/x
  3. Step 3: Cross multiply
    153,921x = 230,713.38 × 97,786.20
  4. Step 4: Simplify right side
    153,921x = 22,560,584,719.36
  5. Step 5: Solve for x
    x = 22,560,584,719.36/153,921
  6. Step 6: Final answer
    x = 146,572.49

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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.