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Finding the Fourth Proportional to 210,820.20, 291,018.42 and 142,930.14

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Solution

The fourth proportional to 210,820.20, 291,018.42 and 142,930.14 is: 197,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,820.20 : 291,018.42 = 142,930.14 : x
  2. Step 2: Convert to fraction form
    210,820.20/291,018.42 = 142,930.14/x
  3. Step 3: Cross multiply
    210,820.20x = 291,018.42 × 142,930.14
  4. Step 4: Simplify right side
    210,820.20x = 41,595,303,513.18
  5. Step 5: Solve for x
    x = 41,595,303,513.18/210,820.20
  6. Step 6: Final answer
    x = 197,302.27

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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.