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Finding the Fourth Proportional to 147,014.70, 205,376.70 and 147,014.70

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Solution

The fourth proportional to 147,014.70, 205,376.70 and 147,014.70 is: 205,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,014.70 : 205,376.70 = 147,014.70 : x
  2. Step 2: Convert to fraction form
    147,014.70/205,376.70 = 147,014.70/x
  3. Step 3: Cross multiply
    147,014.70x = 205,376.70 × 147,014.70
  4. Step 4: Simplify right side
    147,014.70x = 30,193,393,937.49
  5. Step 5: Solve for x
    x = 30,193,393,937.49/147,014.70
  6. Step 6: Final answer
    x = 205,376.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.