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Finding the Fourth Proportional to 159,185.80, 238,696.50 and 46,851.40

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Solution

The fourth proportional to 159,185.80, 238,696.50 and 46,851.40 is: 70,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,185.80 : 238,696.50 = 46,851.40 : x
  2. Step 2: Convert to fraction form
    159,185.80/238,696.50 = 46,851.40/x
  3. Step 3: Cross multiply
    159,185.80x = 238,696.50 × 46,851.40
  4. Step 4: Simplify right side
    159,185.80x = 11,183,265,200.10
  5. Step 5: Solve for x
    x = 11,183,265,200.10/159,185.80
  6. Step 6: Final answer
    x = 70,252.91

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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.