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Finding the Fourth Proportional to 210,096.90, 314,882.54 and 104,945.22

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Solution

The fourth proportional to 210,096.90, 314,882.54 and 104,945.22 is: 157,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,096.90 : 314,882.54 = 104,945.22 : x
  2. Step 2: Convert to fraction form
    210,096.90/314,882.54 = 104,945.22/x
  3. Step 3: Cross multiply
    210,096.90x = 314,882.54 × 104,945.22
  4. Step 4: Simplify right side
    210,096.90x = 33,045,417,434.46
  5. Step 5: Solve for x
    x = 33,045,417,434.46/210,096.90
  6. Step 6: Final answer
    x = 157,286.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.