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Finding the Fourth Proportional to 242,311.68, 333,573.12 and 199,802.88

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Solution

The fourth proportional to 242,311.68, 333,573.12 and 199,802.88 is: 275,054.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,311.68 : 333,573.12 = 199,802.88 : x
  2. Step 2: Convert to fraction form
    242,311.68/333,573.12 = 199,802.88/x
  3. Step 3: Cross multiply
    242,311.68x = 333,573.12 × 199,802.88
  4. Step 4: Simplify right side
    242,311.68x = 66,648,870,066.59
  5. Step 5: Solve for x
    x = 66,648,870,066.59/242,311.68
  6. Step 6: Final answer
    x = 275,054.30

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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.