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Finding the Fourth Proportional to 210,930.09, 291,083.31 and 119,068.71

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Solution

The fourth proportional to 210,930.09, 291,083.31 and 119,068.71 is: 164,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,930.09 : 291,083.31 = 119,068.71 : x
  2. Step 2: Convert to fraction form
    210,930.09/291,083.31 = 119,068.71/x
  3. Step 3: Cross multiply
    210,930.09x = 291,083.31 × 119,068.71
  4. Step 4: Simplify right side
    210,930.09x = 34,658,914,224.23
  5. Step 5: Solve for x
    x = 34,658,914,224.23/210,930.09
  6. Step 6: Final answer
    x = 164,314.70

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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.