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Finding the Fourth Proportional to 223,764, 335,646.90 and 90,646.77

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Solution

The fourth proportional to 223,764, 335,646.90 and 90,646.77 is: 135,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,764 : 335,646.90 = 90,646.77 : x
  2. Step 2: Convert to fraction form
    223,764/335,646.90 = 90,646.77/x
  3. Step 3: Cross multiply
    223,764x = 335,646.90 × 90,646.77
  4. Step 4: Simplify right side
    223,764x = 30,425,307,345.51
  5. Step 5: Solve for x
    x = 30,425,307,345.51/223,764
  6. Step 6: Final answer
    x = 135,970.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.