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Finding the Fourth Proportional to 195,153.50, 292,730.97 and 47,409.50

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Solution

The fourth proportional to 195,153.50, 292,730.97 and 47,409.50 is: 71,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,153.50 : 292,730.97 = 47,409.50 : x
  2. Step 2: Convert to fraction form
    195,153.50/292,730.97 = 47,409.50/x
  3. Step 3: Cross multiply
    195,153.50x = 292,730.97 × 47,409.50
  4. Step 4: Simplify right side
    195,153.50x = 13,878,228,922.22
  5. Step 5: Solve for x
    x = 13,878,228,922.22/195,153.50
  6. Step 6: Final answer
    x = 71,114.42

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