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Finding the Fourth Proportional to 142,228.84, 196,128.48 and 122,152.12

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Solution

The fourth proportional to 142,228.84, 196,128.48 and 122,152.12 is: 168,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,228.84 : 196,128.48 = 122,152.12 : x
  2. Step 2: Convert to fraction form
    142,228.84/196,128.48 = 122,152.12/x
  3. Step 3: Cross multiply
    142,228.84x = 196,128.48 × 122,152.12
  4. Step 4: Simplify right side
    142,228.84x = 23,957,509,624.38
  5. Step 5: Solve for x
    x = 23,957,509,624.38/142,228.84
  6. Step 6: Final answer
    x = 168,443.40

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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.