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Finding the Fourth Proportional to 221,124.82, 305,343.64 and 209,774.51

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Solution

The fourth proportional to 221,124.82, 305,343.64 and 209,774.51 is: 289,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,124.82 : 305,343.64 = 209,774.51 : x
  2. Step 2: Convert to fraction form
    221,124.82/305,343.64 = 209,774.51/x
  3. Step 3: Cross multiply
    221,124.82x = 305,343.64 × 209,774.51
  4. Step 4: Simplify right side
    221,124.82x = 64,053,312,343.16
  5. Step 5: Solve for x
    x = 64,053,312,343.16/221,124.82
  6. Step 6: Final answer
    x = 289,670.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.