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Finding the Fourth Proportional to 154,978.47, 232,467.71 and 61,484.22

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Solution

The fourth proportional to 154,978.47, 232,467.71 and 61,484.22 is: 92,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,978.47 : 232,467.71 = 61,484.22 : x
  2. Step 2: Convert to fraction form
    154,978.47/232,467.71 = 61,484.22/x
  3. Step 3: Cross multiply
    154,978.47x = 232,467.71 × 61,484.22
  4. Step 4: Simplify right side
    154,978.47x = 14,293,095,517.12
  5. Step 5: Solve for x
    x = 14,293,095,517.12/154,978.47
  6. Step 6: Final answer
    x = 92,226.33

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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.