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Finding the Fourth Proportional to 152,696, 210,720.48 and 85,628

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Solution

The fourth proportional to 152,696, 210,720.48 and 85,628 is: 118,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,696 : 210,720.48 = 85,628 : x
  2. Step 2: Convert to fraction form
    152,696/210,720.48 = 85,628/x
  3. Step 3: Cross multiply
    152,696x = 210,720.48 × 85,628
  4. Step 4: Simplify right side
    152,696x = 18,043,573,261.44
  5. Step 5: Solve for x
    x = 18,043,573,261.44/152,696
  6. Step 6: Final answer
    x = 118,166.64

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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.