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Finding the Fourth Proportional to 210,132.59, 289,971.14 and 119,510.60

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Solution

The fourth proportional to 210,132.59, 289,971.14 and 119,510.60 is: 164,917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,132.59 : 289,971.14 = 119,510.60 : x
  2. Step 2: Convert to fraction form
    210,132.59/289,971.14 = 119,510.60/x
  3. Step 3: Cross multiply
    210,132.59x = 289,971.14 × 119,510.60
  4. Step 4: Simplify right side
    210,132.59x = 34,654,622,876.68
  5. Step 5: Solve for x
    x = 34,654,622,876.68/210,132.59
  6. Step 6: Final answer
    x = 164,917.89

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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.