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Finding the Fourth Proportional to 209,498.19, 289,098.88 and 114,005.26

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Solution

The fourth proportional to 209,498.19, 289,098.88 and 114,005.26 is: 157,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,498.19 : 289,098.88 = 114,005.26 : x
  2. Step 2: Convert to fraction form
    209,498.19/289,098.88 = 114,005.26/x
  3. Step 3: Cross multiply
    209,498.19x = 289,098.88 × 114,005.26
  4. Step 4: Simplify right side
    209,498.19x = 32,958,792,980.11
  5. Step 5: Solve for x
    x = 32,958,792,980.11/209,498.19
  6. Step 6: Final answer
    x = 157,322.57

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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.