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Finding the Fourth Proportional to 219,434.71, 328,970.62 and 101,006.23

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Solution

The fourth proportional to 219,434.71, 328,970.62 and 101,006.23 is: 151,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,434.71 : 328,970.62 = 101,006.23 : x
  2. Step 2: Convert to fraction form
    219,434.71/328,970.62 = 101,006.23/x
  3. Step 3: Cross multiply
    219,434.71x = 328,970.62 × 101,006.23
  4. Step 4: Simplify right side
    219,434.71x = 33,228,082,106.96
  5. Step 5: Solve for x
    x = 33,228,082,106.96/219,434.71
  6. Step 6: Final answer
    x = 151,425.83

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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.