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Finding the Fourth Proportional to 268,953.40, 403,430.10 and 81,964.60

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Solution

The fourth proportional to 268,953.40, 403,430.10 and 81,964.60 is: 122,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,953.40 : 403,430.10 = 81,964.60 : x
  2. Step 2: Convert to fraction form
    268,953.40/403,430.10 = 81,964.60/x
  3. Step 3: Cross multiply
    268,953.40x = 403,430.10 × 81,964.60
  4. Step 4: Simplify right side
    268,953.40x = 33,066,986,774.46
  5. Step 5: Solve for x
    x = 33,066,986,774.46/268,953.40
  6. Step 6: Final answer
    x = 122,946.90

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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.