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Finding the Fourth Proportional to 228,283.40, 342,834.70 and 166,024.20

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Solution

The fourth proportional to 228,283.40, 342,834.70 and 166,024.20 is: 249,334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,283.40 : 342,834.70 = 166,024.20 : x
  2. Step 2: Convert to fraction form
    228,283.40/342,834.70 = 166,024.20/x
  3. Step 3: Cross multiply
    228,283.40x = 342,834.70 × 166,024.20
  4. Step 4: Simplify right side
    228,283.40x = 56,918,856,799.74
  5. Step 5: Solve for x
    x = 56,918,856,799.74/228,283.40
  6. Step 6: Final answer
    x = 249,334.19

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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.