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Finding the Fourth Proportional to 209,762.51, 289,474.25 and 119,120.36

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Solution

The fourth proportional to 209,762.51, 289,474.25 and 119,120.36 is: 164,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,762.51 : 289,474.25 = 119,120.36 : x
  2. Step 2: Convert to fraction form
    209,762.51/289,474.25 = 119,120.36/x
  3. Step 3: Cross multiply
    209,762.51x = 289,474.25 × 119,120.36
  4. Step 4: Simplify right side
    209,762.51x = 34,482,274,827.76
  5. Step 5: Solve for x
    x = 34,482,274,827.76/209,762.51
  6. Step 6: Final answer
    x = 164,387.22

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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.