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Finding the Fourth Proportional to 261,003.60, 391,505.40 and 201,954.60

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Solution

The fourth proportional to 261,003.60, 391,505.40 and 201,954.60 is: 302,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,003.60 : 391,505.40 = 201,954.60 : x
  2. Step 2: Convert to fraction form
    261,003.60/391,505.40 = 201,954.60/x
  3. Step 3: Cross multiply
    261,003.60x = 391,505.40 × 201,954.60
  4. Step 4: Simplify right side
    261,003.60x = 79,066,316,454.84
  5. Step 5: Solve for x
    x = 79,066,316,454.84/261,003.60
  6. Step 6: Final answer
    x = 302,931.90

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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.