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Finding the Fourth Proportional to 210,155.84, 290,122.08 and 162,301.76

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Solution

The fourth proportional to 210,155.84, 290,122.08 and 162,301.76 is: 224,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,155.84 : 290,122.08 = 162,301.76 : x
  2. Step 2: Convert to fraction form
    210,155.84/290,122.08 = 162,301.76/x
  3. Step 3: Cross multiply
    210,155.84x = 290,122.08 × 162,301.76
  4. Step 4: Simplify right side
    210,155.84x = 47,087,324,198.86
  5. Step 5: Solve for x
    x = 47,087,324,198.86/210,155.84
  6. Step 6: Final answer
    x = 224,059.08

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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.