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Finding the Fourth Proportional to 285,103.41, 393,455.06 and 157,779.05

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Solution

The fourth proportional to 285,103.41, 393,455.06 and 157,779.05 is: 217,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,103.41 : 393,455.06 = 157,779.05 : x
  2. Step 2: Convert to fraction form
    285,103.41/393,455.06 = 157,779.05/x
  3. Step 3: Cross multiply
    285,103.41x = 393,455.06 × 157,779.05
  4. Step 4: Simplify right side
    285,103.41x = 62,078,962,828.32
  5. Step 5: Solve for x
    x = 62,078,962,828.32/285,103.41
  6. Step 6: Final answer
    x = 217,741.92

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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.