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Finding the Fourth Proportional to 196,492.64, 271,160 and 107,068.64

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Solution

The fourth proportional to 196,492.64, 271,160 and 107,068.64 is: 147,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,492.64 : 271,160 = 107,068.64 : x
  2. Step 2: Convert to fraction form
    196,492.64/271,160 = 107,068.64/x
  3. Step 3: Cross multiply
    196,492.64x = 271,160 × 107,068.64
  4. Step 4: Simplify right side
    196,492.64x = 29,032,732,422.40
  5. Step 5: Solve for x
    x = 29,032,732,422.40/196,492.64
  6. Step 6: Final answer
    x = 147,754.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.