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Finding the Fourth Proportional to 196,895.40, 295,040.70 and 146,740.20

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Solution

The fourth proportional to 196,895.40, 295,040.70 and 146,740.20 is: 219,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,895.40 : 295,040.70 = 146,740.20 : x
  2. Step 2: Convert to fraction form
    196,895.40/295,040.70 = 146,740.20/x
  3. Step 3: Cross multiply
    196,895.40x = 295,040.70 × 146,740.20
  4. Step 4: Simplify right side
    196,895.40x = 43,294,331,326.14
  5. Step 5: Solve for x
    x = 43,294,331,326.14/196,895.40
  6. Step 6: Final answer
    x = 219,884.93

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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.