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Finding the Fourth Proportional to 223,506.84, 335,260.17 and 65,735.31

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Solution

The fourth proportional to 223,506.84, 335,260.17 and 65,735.31 is: 98,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,506.84 : 335,260.17 = 65,735.31 : x
  2. Step 2: Convert to fraction form
    223,506.84/335,260.17 = 65,735.31/x
  3. Step 3: Cross multiply
    223,506.84x = 335,260.17 × 65,735.31
  4. Step 4: Simplify right side
    223,506.84x = 22,038,429,529.30
  5. Step 5: Solve for x
    x = 22,038,429,529.30/223,506.84
  6. Step 6: Final answer
    x = 98,602.93

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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.