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Finding the Fourth Proportional to 213,088.25, 294,068.84 and 116,297.39

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Solution

The fourth proportional to 213,088.25, 294,068.84 and 116,297.39 is: 160,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,088.25 : 294,068.84 = 116,297.39 : x
  2. Step 2: Convert to fraction form
    213,088.25/294,068.84 = 116,297.39/x
  3. Step 3: Cross multiply
    213,088.25x = 294,068.84 × 116,297.39
  4. Step 4: Simplify right side
    213,088.25x = 34,199,438,572.33
  5. Step 5: Solve for x
    x = 34,199,438,572.33/213,088.25
  6. Step 6: Final answer
    x = 160,494.25

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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.