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Finding the Fourth Proportional to 210,169, 289,993.54 and 125,293.96

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Solution

The fourth proportional to 210,169, 289,993.54 and 125,293.96 is: 172,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,169 : 289,993.54 = 125,293.96 : x
  2. Step 2: Convert to fraction form
    210,169/289,993.54 = 125,293.96/x
  3. Step 3: Cross multiply
    210,169x = 289,993.54 × 125,293.96
  4. Step 4: Simplify right side
    210,169x = 36,334,439,001.02
  5. Step 5: Solve for x
    x = 36,334,439,001.02/210,169
  6. Step 6: Final answer
    x = 172,882.01

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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.