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Finding the Fourth Proportional to 104,170, 143,774.04 and 59,458

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Solution

The fourth proportional to 104,170, 143,774.04 and 59,458 is: 82,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,170 : 143,774.04 = 59,458 : x
  2. Step 2: Convert to fraction form
    104,170/143,774.04 = 59,458/x
  3. Step 3: Cross multiply
    104,170x = 143,774.04 × 59,458
  4. Step 4: Simplify right side
    104,170x = 8,548,516,870.32
  5. Step 5: Solve for x
    x = 8,548,516,870.32/104,170
  6. Step 6: Final answer
    x = 82,063.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.