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Finding the Fourth Proportional to 152,221.70, 210,065.65 and 85,153.70

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Solution

The fourth proportional to 152,221.70, 210,065.65 and 85,153.70 is: 117,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,221.70 : 210,065.65 = 85,153.70 : x
  2. Step 2: Convert to fraction form
    152,221.70/210,065.65 = 85,153.70/x
  3. Step 3: Cross multiply
    152,221.70x = 210,065.65 × 85,153.70
  4. Step 4: Simplify right side
    152,221.70x = 17,887,867,340.41
  5. Step 5: Solve for x
    x = 17,887,867,340.41/152,221.70
  6. Step 6: Final answer
    x = 117,511.94

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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.