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Finding the Fourth Proportional to 210,114.31, 289,957.35 and 114,620.98

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Solution

The fourth proportional to 210,114.31, 289,957.35 and 114,620.98 is: 158,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,114.31 : 289,957.35 = 114,620.98 : x
  2. Step 2: Convert to fraction form
    210,114.31/289,957.35 = 114,620.98/x
  3. Step 3: Cross multiply
    210,114.31x = 289,957.35 × 114,620.98
  4. Step 4: Simplify right side
    210,114.31x = 33,235,195,615.20
  5. Step 5: Solve for x
    x = 33,235,195,615.20/210,114.31
  6. Step 6: Final answer
    x = 158,176.74

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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.