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Finding the Fourth Proportional to 152,849, 210,951.06 and 85,781

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Solution

The fourth proportional to 152,849, 210,951.06 and 85,781 is: 118,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,849 : 210,951.06 = 85,781 : x
  2. Step 2: Convert to fraction form
    152,849/210,951.06 = 85,781/x
  3. Step 3: Cross multiply
    152,849x = 210,951.06 × 85,781
  4. Step 4: Simplify right side
    152,849x = 18,095,592,877.86
  5. Step 5: Solve for x
    x = 18,095,592,877.86/152,849
  6. Step 6: Final answer
    x = 118,388.69

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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.