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Finding the Fourth Proportional to 210,129.98, 289,980.35 and 114,638.73

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Solution

The fourth proportional to 210,129.98, 289,980.35 and 114,638.73 is: 158,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,129.98 : 289,980.35 = 114,638.73 : x
  2. Step 2: Convert to fraction form
    210,129.98/289,980.35 = 114,638.73/x
  3. Step 3: Cross multiply
    210,129.98x = 289,980.35 × 114,638.73
  4. Step 4: Simplify right side
    210,129.98x = 33,242,978,475.76
  5. Step 5: Solve for x
    x = 33,242,978,475.76/210,129.98
  6. Step 6: Final answer
    x = 158,201.98

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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.