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Finding the Fourth Proportional to 289,901.60, 434,196.30 and 183,613.40

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Solution

The fourth proportional to 289,901.60, 434,196.30 and 183,613.40 is: 275,004.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,901.60 : 434,196.30 = 183,613.40 : x
  2. Step 2: Convert to fraction form
    289,901.60/434,196.30 = 183,613.40/x
  3. Step 3: Cross multiply
    289,901.60x = 434,196.30 × 183,613.40
  4. Step 4: Simplify right side
    289,901.60x = 79,724,258,910.42
  5. Step 5: Solve for x
    x = 79,724,258,910.42/289,901.60
  6. Step 6: Final answer
    x = 275,004.55

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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.