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Finding the Fourth Proportional to 106,835.77, 147,424.17 and 59,077.16

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Solution

The fourth proportional to 106,835.77, 147,424.17 and 59,077.16 is: 81,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,835.77 : 147,424.17 = 59,077.16 : x
  2. Step 2: Convert to fraction form
    106,835.77/147,424.17 = 59,077.16/x
  3. Step 3: Cross multiply
    106,835.77x = 147,424.17 × 59,077.16
  4. Step 4: Simplify right side
    106,835.77x = 8,709,401,278.96
  5. Step 5: Solve for x
    x = 8,709,401,278.96/106,835.77
  6. Step 6: Final answer
    x = 81,521.40

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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.