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Finding the Fourth Proportional to 153,885.15, 230,853.24 and 54,019.44

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Solution

The fourth proportional to 153,885.15, 230,853.24 and 54,019.44 is: 81,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,885.15 : 230,853.24 = 54,019.44 : x
  2. Step 2: Convert to fraction form
    153,885.15/230,853.24 = 54,019.44/x
  3. Step 3: Cross multiply
    153,885.15x = 230,853.24 × 54,019.44
  4. Step 4: Simplify right side
    153,885.15x = 12,470,562,746.99
  5. Step 5: Solve for x
    x = 12,470,562,746.99/153,885.15
  6. Step 6: Final answer
    x = 81,038.12

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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.