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Finding the Fourth Proportional to 354,537.50, 531,810.88 and 117,880.18

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Solution

The fourth proportional to 354,537.50, 531,810.88 and 117,880.18 is: 176,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,537.50 : 531,810.88 = 117,880.18 : x
  2. Step 2: Convert to fraction form
    354,537.50/531,810.88 = 117,880.18/x
  3. Step 3: Cross multiply
    354,537.50x = 531,810.88 × 117,880.18
  4. Step 4: Simplify right side
    354,537.50x = 62,689,962,260.36
  5. Step 5: Solve for x
    x = 62,689,962,260.36/354,537.50
  6. Step 6: Final answer
    x = 176,821.81

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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.