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Finding the Fourth Proportional to 171,070.20, 256,605.30 and 46,411.20

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Solution

The fourth proportional to 171,070.20, 256,605.30 and 46,411.20 is: 69,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,070.20 : 256,605.30 = 46,411.20 : x
  2. Step 2: Convert to fraction form
    171,070.20/256,605.30 = 46,411.20/x
  3. Step 3: Cross multiply
    171,070.20x = 256,605.30 × 46,411.20
  4. Step 4: Simplify right side
    171,070.20x = 11,909,359,899.36
  5. Step 5: Solve for x
    x = 11,909,359,899.36/171,070.20
  6. Step 6: Final answer
    x = 69,616.80

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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.