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Finding the Fourth Proportional to 170,895.20, 256,342.80 and 46,236.20

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Solution

The fourth proportional to 170,895.20, 256,342.80 and 46,236.20 is: 69,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,895.20 : 256,342.80 = 46,236.20 : x
  2. Step 2: Convert to fraction form
    170,895.20/256,342.80 = 46,236.20/x
  3. Step 3: Cross multiply
    170,895.20x = 256,342.80 × 46,236.20
  4. Step 4: Simplify right side
    170,895.20x = 11,852,316,969.36
  5. Step 5: Solve for x
    x = 11,852,316,969.36/170,895.20
  6. Step 6: Final answer
    x = 69,354.30

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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.