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Finding the Fourth Proportional to 194,652.98, 291,978.99 and 46,908.98

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Solution

The fourth proportional to 194,652.98, 291,978.99 and 46,908.98 is: 70,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,652.98 : 291,978.99 = 46,908.98 : x
  2. Step 2: Convert to fraction form
    194,652.98/291,978.99 = 46,908.98/x
  3. Step 3: Cross multiply
    194,652.98x = 291,978.99 × 46,908.98
  4. Step 4: Simplify right side
    194,652.98x = 13,696,436,602.33
  5. Step 5: Solve for x
    x = 13,696,436,602.33/194,652.98
  6. Step 6: Final answer
    x = 70,363.35

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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.