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Finding the Fourth Proportional to 103,157.19, 154,736.34 and 46,958.00

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Solution

The fourth proportional to 103,157.19, 154,736.34 and 46,958.00 is: 70,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,157.19 : 154,736.34 = 46,958.00 : x
  2. Step 2: Convert to fraction form
    103,157.19/154,736.34 = 46,958.00/x
  3. Step 3: Cross multiply
    103,157.19x = 154,736.34 × 46,958.00
  4. Step 4: Simplify right side
    103,157.19x = 7,266,108,280.04
  5. Step 5: Solve for x
    x = 7,266,108,280.04/103,157.19
  6. Step 6: Final answer
    x = 70,437.25

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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.