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Finding the Fourth Proportional to 98,156.61, 147,208.46 and 41,968.80

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Solution

The fourth proportional to 98,156.61, 147,208.46 and 41,968.80 is: 62,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,156.61 : 147,208.46 = 41,968.80 : x
  2. Step 2: Convert to fraction form
    98,156.61/147,208.46 = 41,968.80/x
  3. Step 3: Cross multiply
    98,156.61x = 147,208.46 × 41,968.80
  4. Step 4: Simplify right side
    98,156.61x = 6,178,162,206.20
  5. Step 5: Solve for x
    x = 6,178,162,206.20/98,156.61
  6. Step 6: Final answer
    x = 62,941.89

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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.