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Finding the Fourth Proportional to 281,458.19, 388,409.38 and 152,394.44

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Solution

The fourth proportional to 281,458.19, 388,409.38 and 152,394.44 is: 210,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,458.19 : 388,409.38 = 152,394.44 : x
  2. Step 2: Convert to fraction form
    281,458.19/388,409.38 = 152,394.44/x
  3. Step 3: Cross multiply
    281,458.19x = 388,409.38 × 152,394.44
  4. Step 4: Simplify right side
    281,458.19x = 59,191,427,632.81
  5. Step 5: Solve for x
    x = 59,191,427,632.81/281,458.19
  6. Step 6: Final answer
    x = 210,302.73

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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.