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Finding the Fourth Proportional to 98,184.66, 147,223.46 and 34,994.94

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Solution

The fourth proportional to 98,184.66, 147,223.46 and 34,994.94 is: 52,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,184.66 : 147,223.46 = 34,994.94 : x
  2. Step 2: Convert to fraction form
    98,184.66/147,223.46 = 34,994.94/x
  3. Step 3: Cross multiply
    98,184.66x = 147,223.46 × 34,994.94
  4. Step 4: Simplify right side
    98,184.66x = 5,152,076,149.29
  5. Step 5: Solve for x
    x = 5,152,076,149.29/98,184.66
  6. Step 6: Final answer
    x = 52,473.33

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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.