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Finding the Fourth Proportional to 219,423.14, 329,111.10 and 148,799.10

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Solution

The fourth proportional to 219,423.14, 329,111.10 and 148,799.10 is: 223,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,423.14 : 329,111.10 = 148,799.10 : x
  2. Step 2: Convert to fraction form
    219,423.14/329,111.10 = 148,799.10/x
  3. Step 3: Cross multiply
    219,423.14x = 329,111.10 × 148,799.10
  4. Step 4: Simplify right side
    219,423.14x = 48,971,435,480.01
  5. Step 5: Solve for x
    x = 48,971,435,480.01/219,423.14
  6. Step 6: Final answer
    x = 223,182.64

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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.