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Finding the Fourth Proportional to 209,802.96, 289,635.36 and 142,177.32

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Solution

The fourth proportional to 209,802.96, 289,635.36 and 142,177.32 is: 196,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,802.96 : 289,635.36 = 142,177.32 : x
  2. Step 2: Convert to fraction form
    209,802.96/289,635.36 = 142,177.32/x
  3. Step 3: Cross multiply
    209,802.96x = 289,635.36 × 142,177.32
  4. Step 4: Simplify right side
    209,802.96x = 41,179,579,262.04
  5. Step 5: Solve for x
    x = 41,179,579,262.04/209,802.96
  6. Step 6: Final answer
    x = 196,277.40

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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.