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Finding the Fourth Proportional to 210,238.65, 290,129.58 and 114,745.32

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Solution

The fourth proportional to 210,238.65, 290,129.58 and 114,745.32 is: 158,348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,238.65 : 290,129.58 = 114,745.32 : x
  2. Step 2: Convert to fraction form
    210,238.65/290,129.58 = 114,745.32/x
  3. Step 3: Cross multiply
    210,238.65x = 290,129.58 × 114,745.32
  4. Step 4: Simplify right side
    210,238.65x = 33,291,011,498.57
  5. Step 5: Solve for x
    x = 33,291,011,498.57/210,238.65
  6. Step 6: Final answer
    x = 158,348.67

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