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Finding the Fourth Proportional to 183,820.20, 256,823.40 and 183,820.20

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Solution

The fourth proportional to 183,820.20, 256,823.40 and 183,820.20 is: 256,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,820.20 : 256,823.40 = 183,820.20 : x
  2. Step 2: Convert to fraction form
    183,820.20/256,823.40 = 183,820.20/x
  3. Step 3: Cross multiply
    183,820.20x = 256,823.40 × 183,820.20
  4. Step 4: Simplify right side
    183,820.20x = 47,209,328,752.68
  5. Step 5: Solve for x
    x = 47,209,328,752.68/183,820.20
  6. Step 6: Final answer
    x = 256,823.40

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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.