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Finding the Fourth Proportional to 98,283.48, 147,308.54 and 56,644.44

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Solution

The fourth proportional to 98,283.48, 147,308.54 and 56,644.44 is: 84,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,283.48 : 147,308.54 = 56,644.44 : x
  2. Step 2: Convert to fraction form
    98,283.48/147,308.54 = 56,644.44/x
  3. Step 3: Cross multiply
    98,283.48x = 147,308.54 × 56,644.44
  4. Step 4: Simplify right side
    98,283.48x = 8,344,209,755.52
  5. Step 5: Solve for x
    x = 8,344,209,755.52/98,283.48
  6. Step 6: Final answer
    x = 84,899.41

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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.