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Finding the Fourth Proportional to 281,253.40, 388,126.96 and 152,189.03

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Solution

The fourth proportional to 281,253.40, 388,126.96 and 152,189.03 is: 210,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,253.40 : 388,126.96 = 152,189.03 : x
  2. Step 2: Convert to fraction form
    281,253.40/388,126.96 = 152,189.03/x
  3. Step 3: Cross multiply
    281,253.40x = 388,126.96 × 152,189.03
  4. Step 4: Simplify right side
    281,253.40x = 59,068,666,149.09
  5. Step 5: Solve for x
    x = 59,068,666,149.09/281,253.40
  6. Step 6: Final answer
    x = 210,019.39

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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.