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Finding the Fourth Proportional to 194,549.16, 291,858.30 and 66,458.46

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Solution

The fourth proportional to 194,549.16, 291,858.30 and 66,458.46 is: 99,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,549.16 : 291,858.30 = 66,458.46 : x
  2. Step 2: Convert to fraction form
    194,549.16/291,858.30 = 66,458.46/x
  3. Step 3: Cross multiply
    194,549.16x = 291,858.30 × 66,458.46
  4. Step 4: Simplify right side
    194,549.16x = 19,396,453,156.22
  5. Step 5: Solve for x
    x = 19,396,453,156.22/194,549.16
  6. Step 6: Final answer
    x = 99,699.50

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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.