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Finding the Fourth Proportional to 271,273, 406,931.64 and 136,267.63

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Solution

The fourth proportional to 271,273, 406,931.64 and 136,267.63 is: 204,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,273 : 406,931.64 = 136,267.63 : x
  2. Step 2: Convert to fraction form
    271,273/406,931.64 = 136,267.63/x
  3. Step 3: Cross multiply
    271,273x = 406,931.64 × 136,267.63
  4. Step 4: Simplify right side
    271,273x = 55,451,610,154.81
  5. Step 5: Solve for x
    x = 55,451,610,154.81/271,273
  6. Step 6: Final answer
    x = 204,412.57

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1.5x scale

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.