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Finding the Fourth Proportional to 209,718.77, 289,411.85 and 114,225.46

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Solution

The fourth proportional to 209,718.77, 289,411.85 and 114,225.46 is: 157,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,718.77 : 289,411.85 = 114,225.46 : x
  2. Step 2: Convert to fraction form
    209,718.77/289,411.85 = 114,225.46/x
  3. Step 3: Cross multiply
    209,718.77x = 289,411.85 × 114,225.46
  4. Step 4: Simplify right side
    209,718.77x = 33,058,201,257.74
  5. Step 5: Solve for x
    x = 33,058,201,257.74/209,718.77
  6. Step 6: Final answer
    x = 157,631.11

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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.