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Finding the Fourth Proportional to 209,296.14, 288,809.91 and 116,164.32

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Solution

The fourth proportional to 209,296.14, 288,809.91 and 116,164.32 is: 160,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,296.14 : 288,809.91 = 116,164.32 : x
  2. Step 2: Convert to fraction form
    209,296.14/288,809.91 = 116,164.32/x
  3. Step 3: Cross multiply
    209,296.14x = 288,809.91 × 116,164.32
  4. Step 4: Simplify right side
    209,296.14x = 33,549,406,804.41
  5. Step 5: Solve for x
    x = 33,549,406,804.41/209,296.14
  6. Step 6: Final answer
    x = 160,296.35

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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.