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Finding the Fourth Proportional to 152,414.80, 210,339.08 and 85,345.36

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Solution

The fourth proportional to 152,414.80, 210,339.08 and 85,345.36 is: 117,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,414.80 : 210,339.08 = 85,345.36 : x
  2. Step 2: Convert to fraction form
    152,414.80/210,339.08 = 85,345.36/x
  3. Step 3: Cross multiply
    152,414.80x = 210,339.08 × 85,345.36
  4. Step 4: Simplify right side
    152,414.80x = 17,951,464,504.67
  5. Step 5: Solve for x
    x = 17,951,464,504.67/152,414.80
  6. Step 6: Final answer
    x = 117,780.32

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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.