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Finding the Fourth Proportional to 210,114.09, 289,971.15 and 119,478.48

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Solution

The fourth proportional to 210,114.09, 289,971.15 and 119,478.48 is: 164,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,114.09 : 289,971.15 = 119,478.48 : x
  2. Step 2: Convert to fraction form
    210,114.09/289,971.15 = 119,478.48/x
  3. Step 3: Cross multiply
    210,114.09x = 289,971.15 × 119,478.48
  4. Step 4: Simplify right side
    210,114.09x = 34,645,312,245.85
  5. Step 5: Solve for x
    x = 34,645,312,245.85/210,114.09
  6. Step 6: Final answer
    x = 164,888.10

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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.