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Finding the Fourth Proportional to 163,813.50, 245,779.38 and 57,213.15

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Solution

The fourth proportional to 163,813.50, 245,779.38 and 57,213.15 is: 85,840.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,813.50 : 245,779.38 = 57,213.15 : x
  2. Step 2: Convert to fraction form
    163,813.50/245,779.38 = 57,213.15/x
  3. Step 3: Cross multiply
    163,813.50x = 245,779.38 × 57,213.15
  4. Step 4: Simplify right side
    163,813.50x = 14,061,812,534.85
  5. Step 5: Solve for x
    x = 14,061,812,534.85/163,813.50
  6. Step 6: Final answer
    x = 85,840.38

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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.