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Finding the Fourth Proportional to 210,140.58, 290,016.33 and 128,516.58

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Solution

The fourth proportional to 210,140.58, 290,016.33 and 128,516.58 is: 177,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,140.58 : 290,016.33 = 128,516.58 : x
  2. Step 2: Convert to fraction form
    210,140.58/290,016.33 = 128,516.58/x
  3. Step 3: Cross multiply
    210,140.58x = 290,016.33 × 128,516.58
  4. Step 4: Simplify right side
    210,140.58x = 37,271,905,425.67
  5. Step 5: Solve for x
    x = 37,271,905,425.67/210,140.58
  6. Step 6: Final answer
    x = 177,366.53

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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.