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Finding the Fourth Proportional to 209,774.40, 289,389.47 and 141,815.22

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Solution

The fourth proportional to 209,774.40, 289,389.47 and 141,815.22 is: 195,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,774.40 : 289,389.47 = 141,815.22 : x
  2. Step 2: Convert to fraction form
    209,774.40/289,389.47 = 141,815.22/x
  3. Step 3: Cross multiply
    209,774.40x = 289,389.47 × 141,815.22
  4. Step 4: Simplify right side
    209,774.40x = 41,039,830,644.66
  5. Step 5: Solve for x
    x = 41,039,830,644.66/209,774.40
  6. Step 6: Final answer
    x = 195,637.94

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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.