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Finding the Fourth Proportional to 295,087.85, 442,048.58 and 161,729.45

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Solution

The fourth proportional to 295,087.85, 442,048.58 and 161,729.45 is: 242,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,087.85 : 442,048.58 = 161,729.45 : x
  2. Step 2: Convert to fraction form
    295,087.85/442,048.58 = 161,729.45/x
  3. Step 3: Cross multiply
    295,087.85x = 442,048.58 × 161,729.45
  4. Step 4: Simplify right side
    295,087.85x = 71,492,272,908.03
  5. Step 5: Solve for x
    x = 71,492,272,908.03/295,087.85
  6. Step 6: Final answer
    x = 242,274.54

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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.