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Finding the Fourth Proportional to 153,853.25, 212,317.76 and 86,785.25

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Solution

The fourth proportional to 153,853.25, 212,317.76 and 86,785.25 is: 119,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,853.25 : 212,317.76 = 86,785.25 : x
  2. Step 2: Convert to fraction form
    153,853.25/212,317.76 = 86,785.25/x
  3. Step 3: Cross multiply
    153,853.25x = 212,317.76 × 86,785.25
  4. Step 4: Simplify right side
    153,853.25x = 18,426,049,447.11
  5. Step 5: Solve for x
    x = 18,426,049,447.11/153,853.25
  6. Step 6: Final answer
    x = 119,763.80

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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.