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Finding the Fourth Proportional to 280,199.36, 386,676.40 and 152,877.60

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Solution

The fourth proportional to 280,199.36, 386,676.40 and 152,877.60 is: 210,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,199.36 : 386,676.40 = 152,877.60 : x
  2. Step 2: Convert to fraction form
    280,199.36/386,676.40 = 152,877.60/x
  3. Step 3: Cross multiply
    280,199.36x = 386,676.40 × 152,877.60
  4. Step 4: Simplify right side
    280,199.36x = 59,114,160,008.64
  5. Step 5: Solve for x
    x = 59,114,160,008.64/280,199.36
  6. Step 6: Final answer
    x = 210,971.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.