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Finding the Fourth Proportional to 206,802.28, 310,166.51 and 55,000.22

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Solution

The fourth proportional to 206,802.28, 310,166.51 and 55,000.22 is: 82,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,802.28 : 310,166.51 = 55,000.22 : x
  2. Step 2: Convert to fraction form
    206,802.28/310,166.51 = 55,000.22/x
  3. Step 3: Cross multiply
    206,802.28x = 310,166.51 × 55,000.22
  4. Step 4: Simplify right side
    206,802.28x = 17,059,226,424.13
  5. Step 5: Solve for x
    x = 17,059,226,424.13/206,802.28
  6. Step 6: Final answer
    x = 82,490.52

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1.5x scale

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.