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Finding the Fourth Proportional to 97,796.60, 146,597.70 and 45,114.20

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Solution

The fourth proportional to 97,796.60, 146,597.70 and 45,114.20 is: 67,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,796.60 : 146,597.70 = 45,114.20 : x
  2. Step 2: Convert to fraction form
    97,796.60/146,597.70 = 45,114.20/x
  3. Step 3: Cross multiply
    97,796.60x = 146,597.70 × 45,114.20
  4. Step 4: Simplify right side
    97,796.60x = 6,613,637,957.34
  5. Step 5: Solve for x
    x = 6,613,637,957.34/97,796.60
  6. Step 6: Final answer
    x = 67,626.46

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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.