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Finding the Fourth Proportional to 284,506.06, 426,822.64 and 107,014.60

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Solution

The fourth proportional to 284,506.06, 426,822.64 and 107,014.60 is: 160,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,506.06 : 426,822.64 = 107,014.60 : x
  2. Step 2: Convert to fraction form
    284,506.06/426,822.64 = 107,014.60/x
  3. Step 3: Cross multiply
    284,506.06x = 426,822.64 × 107,014.60
  4. Step 4: Simplify right side
    284,506.06x = 45,676,254,090.54
  5. Step 5: Solve for x
    x = 45,676,254,090.54/284,506.06
  6. Step 6: Final answer
    x = 160,545.80

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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.