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Finding the Fourth Proportional to 227,696.40, 341,544.60 and 152,852.40

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Solution

The fourth proportional to 227,696.40, 341,544.60 and 152,852.40 is: 229,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,696.40 : 341,544.60 = 152,852.40 : x
  2. Step 2: Convert to fraction form
    227,696.40/341,544.60 = 152,852.40/x
  3. Step 3: Cross multiply
    227,696.40x = 341,544.60 × 152,852.40
  4. Step 4: Simplify right side
    227,696.40x = 52,205,911,817.04
  5. Step 5: Solve for x
    x = 52,205,911,817.04/227,696.40
  6. Step 6: Final answer
    x = 229,278.60

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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.