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Finding the Fourth Proportional to 112,690, 168,971.80 and 77,191.40

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Solution

The fourth proportional to 112,690, 168,971.80 and 77,191.40 is: 115,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,690 : 168,971.80 = 77,191.40 : x
  2. Step 2: Convert to fraction form
    112,690/168,971.80 = 77,191.40/x
  3. Step 3: Cross multiply
    112,690x = 168,971.80 × 77,191.40
  4. Step 4: Simplify right side
    112,690x = 13,043,169,802.52
  5. Step 5: Solve for x
    x = 13,043,169,802.52/112,690
  6. Step 6: Final answer
    x = 115,743.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.