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Finding the Fourth Proportional to 153,914.40, 231,058.80 and 97,754.40

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Solution

The fourth proportional to 153,914.40, 231,058.80 and 97,754.40 is: 146,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,914.40 : 231,058.80 = 97,754.40 : x
  2. Step 2: Convert to fraction form
    153,914.40/231,058.80 = 97,754.40/x
  3. Step 3: Cross multiply
    153,914.40x = 231,058.80 × 97,754.40
  4. Step 4: Simplify right side
    153,914.40x = 22,587,014,358.72
  5. Step 5: Solve for x
    x = 22,587,014,358.72/153,914.40
  6. Step 6: Final answer
    x = 146,750.49

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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.