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Finding the Fourth Proportional to 281,281.85, 388,168.30 and 153,956.33

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Solution

The fourth proportional to 281,281.85, 388,168.30 and 153,956.33 is: 212,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,281.85 : 388,168.30 = 153,956.33 : x
  2. Step 2: Convert to fraction form
    281,281.85/388,168.30 = 153,956.33/x
  3. Step 3: Cross multiply
    281,281.85x = 388,168.30 × 153,956.33
  4. Step 4: Simplify right side
    281,281.85x = 59,760,966,890.34
  5. Step 5: Solve for x
    x = 59,760,966,890.34/281,281.85
  6. Step 6: Final answer
    x = 212,459.38

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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.