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Finding the Fourth Proportional to 152,119.86, 209,918.70 and 87,586.35

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Solution

The fourth proportional to 152,119.86, 209,918.70 and 87,586.35 is: 120,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,119.86 : 209,918.70 = 87,586.35 : x
  2. Step 2: Convert to fraction form
    152,119.86/209,918.70 = 87,586.35/x
  3. Step 3: Cross multiply
    152,119.86x = 209,918.70 × 87,586.35
  4. Step 4: Simplify right side
    152,119.86x = 18,386,012,729.75
  5. Step 5: Solve for x
    x = 18,386,012,729.75/152,119.86
  6. Step 6: Final answer
    x = 120,865.30

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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.