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Finding the Fourth Proportional to 137,136.06, 189,265.26 and 76,710.06

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Solution

The fourth proportional to 137,136.06, 189,265.26 and 76,710.06 is: 105,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,136.06 : 189,265.26 = 76,710.06 : x
  2. Step 2: Convert to fraction form
    137,136.06/189,265.26 = 76,710.06/x
  3. Step 3: Cross multiply
    137,136.06x = 189,265.26 × 76,710.06
  4. Step 4: Simplify right side
    137,136.06x = 14,518,549,450.52
  5. Step 5: Solve for x
    x = 14,518,549,450.52/137,136.06
  6. Step 6: Final answer
    x = 105,869.67

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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.