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Finding the Fourth Proportional to 206,012.32, 308,970 and 116,094.24

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Solution

The fourth proportional to 206,012.32, 308,970 and 116,094.24 is: 174,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,012.32 : 308,970 = 116,094.24 : x
  2. Step 2: Convert to fraction form
    206,012.32/308,970 = 116,094.24/x
  3. Step 3: Cross multiply
    206,012.32x = 308,970 × 116,094.24
  4. Step 4: Simplify right side
    206,012.32x = 35,869,637,332.80
  5. Step 5: Solve for x
    x = 35,869,637,332.80/206,012.32
  6. Step 6: Final answer
    x = 174,114.04

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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.