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Finding the Fourth Proportional to 106,710.53, 147,260.91 and 58,312.46

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Solution

The fourth proportional to 106,710.53, 147,260.91 and 58,312.46 is: 80,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,710.53 : 147,260.91 = 58,312.46 : x
  2. Step 2: Convert to fraction form
    106,710.53/147,260.91 = 58,312.46/x
  3. Step 3: Cross multiply
    106,710.53x = 147,260.91 × 58,312.46
  4. Step 4: Simplify right side
    106,710.53x = 8,587,145,187.63
  5. Step 5: Solve for x
    x = 8,587,145,187.63/106,710.53
  6. Step 6: Final answer
    x = 80,471.40

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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.