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Finding the Fourth Proportional to 147,408.01, 220,671.32 and 90,302.02

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Solution

The fourth proportional to 147,408.01, 220,671.32 and 90,302.02 is: 135,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,408.01 : 220,671.32 = 90,302.02 : x
  2. Step 2: Convert to fraction form
    147,408.01/220,671.32 = 90,302.02/x
  3. Step 3: Cross multiply
    147,408.01x = 220,671.32 × 90,302.02
  4. Step 4: Simplify right side
    147,408.01x = 19,927,064,848.71
  5. Step 5: Solve for x
    x = 19,927,064,848.71/147,408.01
  6. Step 6: Final answer
    x = 135,183.06

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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.