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Finding the Fourth Proportional to 106,846.16, 147,434.76 and 59,093

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Solution

The fourth proportional to 106,846.16, 147,434.76 and 59,093 is: 81,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,846.16 : 147,434.76 = 59,093 : x
  2. Step 2: Convert to fraction form
    106,846.16/147,434.76 = 59,093/x
  3. Step 3: Cross multiply
    106,846.16x = 147,434.76 × 59,093
  4. Step 4: Simplify right side
    106,846.16x = 8,712,362,272.68
  5. Step 5: Solve for x
    x = 8,712,362,272.68/106,846.16
  6. Step 6: Final answer
    x = 81,541.18

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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.