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Finding the Fourth Proportional to 153,765.70, 230,679.68 and 65,019.06

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Solution

The fourth proportional to 153,765.70, 230,679.68 and 65,019.06 is: 97,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,765.70 : 230,679.68 = 65,019.06 : x
  2. Step 2: Convert to fraction form
    153,765.70/230,679.68 = 65,019.06/x
  3. Step 3: Cross multiply
    153,765.70x = 230,679.68 × 65,019.06
  4. Step 4: Simplify right side
    153,765.70x = 14,998,575,954.70
  5. Step 5: Solve for x
    x = 14,998,575,954.70/153,765.70
  6. Step 6: Final answer
    x = 97,541.75

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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.