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Finding the Fourth Proportional to 281,454.18, 388,407.33 and 152,394

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Solution

The fourth proportional to 281,454.18, 388,407.33 and 152,394 is: 210,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,454.18 : 388,407.33 = 152,394 : x
  2. Step 2: Convert to fraction form
    281,454.18/388,407.33 = 152,394/x
  3. Step 3: Cross multiply
    281,454.18x = 388,407.33 × 152,394
  4. Step 4: Simplify right side
    281,454.18x = 59,190,946,648.02
  5. Step 5: Solve for x
    x = 59,190,946,648.02/281,454.18
  6. Step 6: Final answer
    x = 210,304.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.