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Finding the Fourth Proportional to 144,454.32, 198,931.14 and 119,070.54

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Solution

The fourth proportional to 144,454.32, 198,931.14 and 119,070.54 is: 163,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,454.32 : 198,931.14 = 119,070.54 : x
  2. Step 2: Convert to fraction form
    144,454.32/198,931.14 = 119,070.54/x
  3. Step 3: Cross multiply
    144,454.32x = 198,931.14 × 119,070.54
  4. Step 4: Simplify right side
    144,454.32x = 23,686,838,262.62
  5. Step 5: Solve for x
    x = 23,686,838,262.62/144,454.32
  6. Step 6: Final answer
    x = 163,974.59

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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.