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Finding the Fourth Proportional to 289,166.70, 433,404.45 and 148,853.10

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Solution

The fourth proportional to 289,166.70, 433,404.45 and 148,853.10 is: 223,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,166.70 : 433,404.45 = 148,853.10 : x
  2. Step 2: Convert to fraction form
    289,166.70/433,404.45 = 148,853.10/x
  3. Step 3: Cross multiply
    289,166.70x = 433,404.45 × 148,853.10
  4. Step 4: Simplify right side
    289,166.70x = 64,513,595,936.30
  5. Step 5: Solve for x
    x = 64,513,595,936.30/289,166.70
  6. Step 6: Final answer
    x = 223,101.75

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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.