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Finding the Fourth Proportional to 210,029.76, 289,848.34 and 119,389.52

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Solution

The fourth proportional to 210,029.76, 289,848.34 and 119,389.52 is: 164,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,029.76 : 289,848.34 = 119,389.52 : x
  2. Step 2: Convert to fraction form
    210,029.76/289,848.34 = 119,389.52/x
  3. Step 3: Cross multiply
    210,029.76x = 289,848.34 × 119,389.52
  4. Step 4: Simplify right side
    210,029.76x = 34,604,854,185.40
  5. Step 5: Solve for x
    x = 34,604,854,185.40/210,029.76
  6. Step 6: Final answer
    x = 164,761.67

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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.