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Finding the Fourth Proportional to 282,966, 390,548.56 and 162,188.26

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Solution

The fourth proportional to 282,966, 390,548.56 and 162,188.26 is: 223,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,966 : 390,548.56 = 162,188.26 : x
  2. Step 2: Convert to fraction form
    282,966/390,548.56 = 162,188.26/x
  3. Step 3: Cross multiply
    282,966x = 390,548.56 × 162,188.26
  4. Step 4: Simplify right side
    282,966x = 63,342,391,391.91
  5. Step 5: Solve for x
    x = 63,342,391,391.91/282,966
  6. Step 6: Final answer
    x = 223,851.60

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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.