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Finding the Fourth Proportional to 210,034.93, 289,865.42 and 119,419.33

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Solution

The fourth proportional to 210,034.93, 289,865.42 and 119,419.33 is: 164,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,034.93 : 289,865.42 = 119,419.33 : x
  2. Step 2: Convert to fraction form
    210,034.93/289,865.42 = 119,419.33/x
  3. Step 3: Cross multiply
    210,034.93x = 289,865.42 × 119,419.33
  4. Step 4: Simplify right side
    210,034.93x = 34,615,534,246.57
  5. Step 5: Solve for x
    x = 34,615,534,246.57/210,034.93
  6. Step 6: Final answer
    x = 164,808.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.