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Finding the Fourth Proportional to 130,806.77, 180,466.79 and 85,510.76

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Solution

The fourth proportional to 130,806.77, 180,466.79 and 85,510.76 is: 117,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,806.77 : 180,466.79 = 85,510.76 : x
  2. Step 2: Convert to fraction form
    130,806.77/180,466.79 = 85,510.76/x
  3. Step 3: Cross multiply
    130,806.77x = 180,466.79 × 85,510.76
  4. Step 4: Simplify right side
    130,806.77x = 15,431,851,037.77
  5. Step 5: Solve for x
    x = 15,431,851,037.77/130,806.77
  6. Step 6: Final answer
    x = 117,974.41

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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.