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Finding the Fourth Proportional to 106,684.32, 147,224.16 and 58,937.52

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Solution

The fourth proportional to 106,684.32, 147,224.16 and 58,937.52 is: 81,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,684.32 : 147,224.16 = 58,937.52 : x
  2. Step 2: Convert to fraction form
    106,684.32/147,224.16 = 58,937.52/x
  3. Step 3: Cross multiply
    106,684.32x = 147,224.16 × 58,937.52
  4. Step 4: Simplify right side
    106,684.32x = 8,677,026,874.48
  5. Step 5: Solve for x
    x = 8,677,026,874.48/106,684.32
  6. Step 6: Final answer
    x = 81,333.67

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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.