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Finding the Fourth Proportional to 243,113.16, 364,483.83 and 200,860.32

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Solution

The fourth proportional to 243,113.16, 364,483.83 and 200,860.32 is: 301,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,113.16 : 364,483.83 = 200,860.32 : x
  2. Step 2: Convert to fraction form
    243,113.16/364,483.83 = 200,860.32/x
  3. Step 3: Cross multiply
    243,113.16x = 364,483.83 × 200,860.32
  4. Step 4: Simplify right side
    243,113.16x = 73,210,338,728.63
  5. Step 5: Solve for x
    x = 73,210,338,728.63/243,113.16
  6. Step 6: Final answer
    x = 301,136.88

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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.