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Finding the Fourth Proportional to 171,438.40, 257,157.60 and 46,779.40

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Solution

The fourth proportional to 171,438.40, 257,157.60 and 46,779.40 is: 70,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,438.40 : 257,157.60 = 46,779.40 : x
  2. Step 2: Convert to fraction form
    171,438.40/257,157.60 = 46,779.40/x
  3. Step 3: Cross multiply
    171,438.40x = 257,157.60 × 46,779.40
  4. Step 4: Simplify right side
    171,438.40x = 12,029,678,233.44
  5. Step 5: Solve for x
    x = 12,029,678,233.44/171,438.40
  6. Step 6: Final answer
    x = 70,169.10

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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.