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Finding the Fourth Proportional to 282,678, 390,095.64 and 155,361.80

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Solution

The fourth proportional to 282,678, 390,095.64 and 155,361.80 is: 214,399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,678 : 390,095.64 = 155,361.80 : x
  2. Step 2: Convert to fraction form
    282,678/390,095.64 = 155,361.80/x
  3. Step 3: Cross multiply
    282,678x = 390,095.64 × 155,361.80
  4. Step 4: Simplify right side
    282,678x = 60,605,958,852.07
  5. Step 5: Solve for x
    x = 60,605,958,852.07/282,678
  6. Step 6: Final answer
    x = 214,399.28

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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.