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Finding the Fourth Proportional to 196,871.40, 295,004.70 and 146,716.20

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Solution

The fourth proportional to 196,871.40, 295,004.70 and 146,716.20 is: 219,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,871.40 : 295,004.70 = 146,716.20 : x
  2. Step 2: Convert to fraction form
    196,871.40/295,004.70 = 146,716.20/x
  3. Step 3: Cross multiply
    196,871.40x = 295,004.70 × 146,716.20
  4. Step 4: Simplify right side
    196,871.40x = 43,281,968,566.14
  5. Step 5: Solve for x
    x = 43,281,968,566.14/196,871.40
  6. Step 6: Final answer
    x = 219,848.94

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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.