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Finding the Fourth Proportional to 195,225.50, 292,848.50 and 54,995.06

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Solution

The fourth proportional to 195,225.50, 292,848.50 and 54,995.06 is: 82,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,225.50 : 292,848.50 = 54,995.06 : x
  2. Step 2: Convert to fraction form
    195,225.50/292,848.50 = 54,995.06/x
  3. Step 3: Cross multiply
    195,225.50x = 292,848.50 × 54,995.06
  4. Step 4: Simplify right side
    195,225.50x = 16,105,219,501.66
  5. Step 5: Solve for x
    x = 16,105,219,501.66/195,225.50
  6. Step 6: Final answer
    x = 82,495.47

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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.