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Finding the Fourth Proportional to 196,045.84, 270,911.01 and 160,222.78

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Solution

The fourth proportional to 196,045.84, 270,911.01 and 160,222.78 is: 221,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,045.84 : 270,911.01 = 160,222.78 : x
  2. Step 2: Convert to fraction form
    196,045.84/270,911.01 = 160,222.78/x
  3. Step 3: Cross multiply
    196,045.84x = 270,911.01 × 160,222.78
  4. Step 4: Simplify right side
    196,045.84x = 43,406,115,154.81
  5. Step 5: Solve for x
    x = 43,406,115,154.81/196,045.84
  6. Step 6: Final answer
    x = 221,407.99

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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.