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Finding the Fourth Proportional to 223,353.12, 335,029.05 and 96,977.01

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Solution

The fourth proportional to 223,353.12, 335,029.05 and 96,977.01 is: 145,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,353.12 : 335,029.05 = 96,977.01 : x
  2. Step 2: Convert to fraction form
    223,353.12/335,029.05 = 96,977.01/x
  3. Step 3: Cross multiply
    223,353.12x = 335,029.05 × 96,977.01
  4. Step 4: Simplify right side
    223,353.12x = 32,490,115,532.14
  5. Step 5: Solve for x
    x = 32,490,115,532.14/223,353.12
  6. Step 6: Final answer
    x = 145,465.24

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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.