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Finding the Fourth Proportional to 223,830.80, 335,805.60 and 97,416.80

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Solution

The fourth proportional to 223,830.80, 335,805.60 and 97,416.80 is: 146,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,830.80 : 335,805.60 = 97,416.80 : x
  2. Step 2: Convert to fraction form
    223,830.80/335,805.60 = 97,416.80/x
  3. Step 3: Cross multiply
    223,830.80x = 335,805.60 × 97,416.80
  4. Step 4: Simplify right side
    223,830.80x = 32,713,106,974.08
  5. Step 5: Solve for x
    x = 32,713,106,974.08/223,830.80
  6. Step 6: Final answer
    x = 146,151.05

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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.