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Finding the Fourth Proportional to 210,895.74, 290,927.13 and 142,889.45

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Solution

The fourth proportional to 210,895.74, 290,927.13 and 142,889.45 is: 197,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,895.74 : 290,927.13 = 142,889.45 : x
  2. Step 2: Convert to fraction form
    210,895.74/290,927.13 = 142,889.45/x
  3. Step 3: Cross multiply
    210,895.74x = 290,927.13 × 142,889.45
  4. Step 4: Simplify right side
    210,895.74x = 41,570,416,141.14
  5. Step 5: Solve for x
    x = 41,570,416,141.14/210,895.74
  6. Step 6: Final answer
    x = 197,113.59

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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.