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Finding the Fourth Proportional to 281,730.52, 421,894.74 and 197,094.50

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Solution

The fourth proportional to 281,730.52, 421,894.74 and 197,094.50 is: 295,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,730.52 : 421,894.74 = 197,094.50 : x
  2. Step 2: Convert to fraction form
    281,730.52/421,894.74 = 197,094.50/x
  3. Step 3: Cross multiply
    281,730.52x = 421,894.74 × 197,094.50
  4. Step 4: Simplify right side
    281,730.52x = 83,153,133,044.67
  5. Step 5: Solve for x
    x = 83,153,133,044.67/281,730.52
  6. Step 6: Final answer
    x = 295,151.31

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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.