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Finding the Fourth Proportional to 97,427.70, 146,141.55 and 77,744.70

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Solution

The fourth proportional to 97,427.70, 146,141.55 and 77,744.70 is: 116,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,427.70 : 146,141.55 = 77,744.70 : x
  2. Step 2: Convert to fraction form
    97,427.70/146,141.55 = 77,744.70/x
  3. Step 3: Cross multiply
    97,427.70x = 146,141.55 × 77,744.70
  4. Step 4: Simplify right side
    97,427.70x = 11,361,730,962.29
  5. Step 5: Solve for x
    x = 11,361,730,962.29/97,427.70
  6. Step 6: Final answer
    x = 116,617.05

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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.