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Finding the Fourth Proportional to 208,541.80, 312,812.70 and 141,619.60

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Solution

The fourth proportional to 208,541.80, 312,812.70 and 141,619.60 is: 212,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,541.80 : 312,812.70 = 141,619.60 : x
  2. Step 2: Convert to fraction form
    208,541.80/312,812.70 = 141,619.60/x
  3. Step 3: Cross multiply
    208,541.80x = 312,812.70 × 141,619.60
  4. Step 4: Simplify right side
    208,541.80x = 44,300,409,448.92
  5. Step 5: Solve for x
    x = 44,300,409,448.92/208,541.80
  6. Step 6: Final answer
    x = 212,429.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.