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Finding the Fourth Proportional to 173,102.84, 259,667.40 and 46,741.25

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Solution

The fourth proportional to 173,102.84, 259,667.40 and 46,741.25 is: 70,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,102.84 : 259,667.40 = 46,741.25 : x
  2. Step 2: Convert to fraction form
    173,102.84/259,667.40 = 46,741.25/x
  3. Step 3: Cross multiply
    173,102.84x = 259,667.40 × 46,741.25
  4. Step 4: Simplify right side
    173,102.84x = 12,137,178,094.23
  5. Step 5: Solve for x
    x = 12,137,178,094.23/173,102.84
  6. Step 6: Final answer
    x = 70,115.42

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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.