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Finding the Fourth Proportional to 281,270.34, 388,153.06 and 153,945.93

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Solution

The fourth proportional to 281,270.34, 388,153.06 and 153,945.93 is: 212,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,270.34 : 388,153.06 = 153,945.93 : x
  2. Step 2: Convert to fraction form
    281,270.34/388,153.06 = 153,945.93/x
  3. Step 3: Cross multiply
    281,270.34x = 388,153.06 × 153,945.93
  4. Step 4: Simplify right side
    281,270.34x = 59,754,583,804.05
  5. Step 5: Solve for x
    x = 59,754,583,804.05/281,270.34
  6. Step 6: Final answer
    x = 212,445.38

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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.