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Finding the Fourth Proportional to 194,647.91, 291,772.98 and 123,622.34

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Solution

The fourth proportional to 194,647.91, 291,772.98 and 123,622.34 is: 185,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,647.91 : 291,772.98 = 123,622.34 : x
  2. Step 2: Convert to fraction form
    194,647.91/291,772.98 = 123,622.34/x
  3. Step 3: Cross multiply
    194,647.91x = 291,772.98 × 123,622.34
  4. Step 4: Simplify right side
    194,647.91x = 36,069,657,077.51
  5. Step 5: Solve for x
    x = 36,069,657,077.51/194,647.91
  6. Step 6: Final answer
    x = 185,307.19

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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.