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Finding the Fourth Proportional to 233,855.54, 322,730.07 and 130,498.78

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Solution

The fourth proportional to 233,855.54, 322,730.07 and 130,498.78 is: 180,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,855.54 : 322,730.07 = 130,498.78 : x
  2. Step 2: Convert to fraction form
    233,855.54/322,730.07 = 130,498.78/x
  3. Step 3: Cross multiply
    233,855.54x = 322,730.07 × 130,498.78
  4. Step 4: Simplify right side
    233,855.54x = 42,115,880,447.29
  5. Step 5: Solve for x
    x = 42,115,880,447.29/233,855.54
  6. Step 6: Final answer
    x = 180,093.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.