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Finding the Fourth Proportional to 210,817.20, 291,014.28 and 142,927.14

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Solution

The fourth proportional to 210,817.20, 291,014.28 and 142,927.14 is: 197,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,817.20 : 291,014.28 = 142,927.14 : x
  2. Step 2: Convert to fraction form
    210,817.20/291,014.28 = 142,927.14/x
  3. Step 3: Cross multiply
    210,817.20x = 291,014.28 × 142,927.14
  4. Step 4: Simplify right side
    210,817.20x = 41,593,838,739.56
  5. Step 5: Solve for x
    x = 41,593,838,739.56/210,817.20
  6. Step 6: Final answer
    x = 197,298.13

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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.