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Finding the Fourth Proportional to 119,228, 178,569.84 and 56,942.24

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Solution

The fourth proportional to 119,228, 178,569.84 and 56,942.24 is: 85,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,228 : 178,569.84 = 56,942.24 : x
  2. Step 2: Convert to fraction form
    119,228/178,569.84 = 56,942.24/x
  3. Step 3: Cross multiply
    119,228x = 178,569.84 × 56,942.24
  4. Step 4: Simplify right side
    119,228x = 10,168,166,686.04
  5. Step 5: Solve for x
    x = 10,168,166,686.04/119,228
  6. Step 6: Final answer
    x = 85,283.38

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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.