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Finding the Fourth Proportional to 196,547.87, 294,968.25 and 146,063.20

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Solution

The fourth proportional to 196,547.87, 294,968.25 and 146,063.20 is: 219,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,547.87 : 294,968.25 = 146,063.20 : x
  2. Step 2: Convert to fraction form
    196,547.87/294,968.25 = 146,063.20/x
  3. Step 3: Cross multiply
    196,547.87x = 294,968.25 × 146,063.20
  4. Step 4: Simplify right side
    196,547.87x = 43,084,005,755.98
  5. Step 5: Solve for x
    x = 43,084,005,755.98/196,547.87
  6. Step 6: Final answer
    x = 219,203.63

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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.