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Finding the Fourth Proportional to 210,311.01, 313,968.24 and 202,929.48

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Solution

The fourth proportional to 210,311.01, 313,968.24 and 202,929.48 is: 302,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,311.01 : 313,968.24 = 202,929.48 : x
  2. Step 2: Convert to fraction form
    210,311.01/313,968.24 = 202,929.48/x
  3. Step 3: Cross multiply
    210,311.01x = 313,968.24 × 202,929.48
  4. Step 4: Simplify right side
    210,311.01x = 63,713,411,679.72
  5. Step 5: Solve for x
    x = 63,713,411,679.72/210,311.01
  6. Step 6: Final answer
    x = 302,948.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.