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Finding the Fourth Proportional to 208,230.90, 287,842.89 and 185,792.28

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Solution

The fourth proportional to 208,230.90, 287,842.89 and 185,792.28 is: 256,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,230.90 : 287,842.89 = 185,792.28 : x
  2. Step 2: Convert to fraction form
    208,230.90/287,842.89 = 185,792.28/x
  3. Step 3: Cross multiply
    208,230.90x = 287,842.89 × 185,792.28
  4. Step 4: Simplify right side
    208,230.90x = 53,478,986,814.89
  5. Step 5: Solve for x
    x = 53,478,986,814.89/208,230.90
  6. Step 6: Final answer
    x = 256,825.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.