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Finding the Fourth Proportional to 196,233.30, 294,459.30 and 83,894.40

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Solution

The fourth proportional to 196,233.30, 294,459.30 and 83,894.40 is: 125,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,233.30 : 294,459.30 = 83,894.40 : x
  2. Step 2: Convert to fraction form
    196,233.30/294,459.30 = 83,894.40/x
  3. Step 3: Cross multiply
    196,233.30x = 294,459.30 × 83,894.40
  4. Step 4: Simplify right side
    196,233.30x = 24,703,486,297.92
  5. Step 5: Solve for x
    x = 24,703,486,297.92/196,233.30
  6. Step 6: Final answer
    x = 125,888.35

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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.