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Finding the Fourth Proportional to 242,833.40, 364,250.10 and 183,784.40

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Solution

The fourth proportional to 242,833.40, 364,250.10 and 183,784.40 is: 275,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,833.40 : 364,250.10 = 183,784.40 : x
  2. Step 2: Convert to fraction form
    242,833.40/364,250.10 = 183,784.40/x
  3. Step 3: Cross multiply
    242,833.40x = 364,250.10 × 183,784.40
  4. Step 4: Simplify right side
    242,833.40x = 66,943,486,078.44
  5. Step 5: Solve for x
    x = 66,943,486,078.44/242,833.40
  6. Step 6: Final answer
    x = 275,676.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.