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Finding the Fourth Proportional to 171,466.20, 257,199.30 and 46,807.20

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Solution

The fourth proportional to 171,466.20, 257,199.30 and 46,807.20 is: 70,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,466.20 : 257,199.30 = 46,807.20 : x
  2. Step 2: Convert to fraction form
    171,466.20/257,199.30 = 46,807.20/x
  3. Step 3: Cross multiply
    171,466.20x = 257,199.30 × 46,807.20
  4. Step 4: Simplify right side
    171,466.20x = 12,038,779,074.96
  5. Step 5: Solve for x
    x = 12,038,779,074.96/171,466.20
  6. Step 6: Final answer
    x = 70,210.80

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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.