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Finding the Fourth Proportional to 97,764.60, 146,646.90 and 97,764.60

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Solution

The fourth proportional to 97,764.60, 146,646.90 and 97,764.60 is: 146,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,764.60 : 146,646.90 = 97,764.60 : x
  2. Step 2: Convert to fraction form
    97,764.60/146,646.90 = 97,764.60/x
  3. Step 3: Cross multiply
    97,764.60x = 146,646.90 × 97,764.60
  4. Step 4: Simplify right side
    97,764.60x = 14,336,875,519.74
  5. Step 5: Solve for x
    x = 14,336,875,519.74/97,764.60
  6. Step 6: Final answer
    x = 146,646.90

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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.