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Finding the Fourth Proportional to 183,072, 252,643.20 and 103,584

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Solution

The fourth proportional to 183,072, 252,643.20 and 103,584 is: 142,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,072 : 252,643.20 = 103,584 : x
  2. Step 2: Convert to fraction form
    183,072/252,643.20 = 103,584/x
  3. Step 3: Cross multiply
    183,072x = 252,643.20 × 103,584
  4. Step 4: Simplify right side
    183,072x = 26,169,793,228.80
  5. Step 5: Solve for x
    x = 26,169,793,228.80/183,072
  6. Step 6: Final answer
    x = 142,948.09

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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.