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Finding the Fourth Proportional to 282,988.80, 390,522.36 and 155,661.60

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Solution

The fourth proportional to 282,988.80, 390,522.36 and 155,661.60 is: 214,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,988.80 : 390,522.36 = 155,661.60 : x
  2. Step 2: Convert to fraction form
    282,988.80/390,522.36 = 155,661.60/x
  3. Step 3: Cross multiply
    282,988.80x = 390,522.36 × 155,661.60
  4. Step 4: Simplify right side
    282,988.80x = 60,789,335,393.38
  5. Step 5: Solve for x
    x = 60,789,335,393.38/282,988.80
  6. Step 6: Final answer
    x = 214,811.81

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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.