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Finding the Fourth Proportional to 243,624.80, 364,918.80 and 202,152.80

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Solution

The fourth proportional to 243,624.80, 364,918.80 and 202,152.80 is: 302,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,624.80 : 364,918.80 = 202,152.80 : x
  2. Step 2: Convert to fraction form
    243,624.80/364,918.80 = 202,152.80/x
  3. Step 3: Cross multiply
    243,624.80x = 364,918.80 × 202,152.80
  4. Step 4: Simplify right side
    243,624.80x = 73,769,357,192.64
  5. Step 5: Solve for x
    x = 73,769,357,192.64/243,624.80
  6. Step 6: Final answer
    x = 302,799.05

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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.