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Finding the Fourth Proportional to 183,784.80, 257,823.60 and 183,784.80

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Solution

The fourth proportional to 183,784.80, 257,823.60 and 183,784.80 is: 257,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,784.80 : 257,823.60 = 183,784.80 : x
  2. Step 2: Convert to fraction form
    183,784.80/257,823.60 = 183,784.80/x
  3. Step 3: Cross multiply
    183,784.80x = 257,823.60 × 183,784.80
  4. Step 4: Simplify right side
    183,784.80x = 47,384,058,761.28
  5. Step 5: Solve for x
    x = 47,384,058,761.28/183,784.80
  6. Step 6: Final answer
    x = 257,823.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.