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Finding the Fourth Proportional to 275,122.41, 412,802.42 and 148,851.63

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Solution

The fourth proportional to 275,122.41, 412,802.42 and 148,851.63 is: 223,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,122.41 : 412,802.42 = 148,851.63 : x
  2. Step 2: Convert to fraction form
    275,122.41/412,802.42 = 148,851.63/x
  3. Step 3: Cross multiply
    275,122.41x = 412,802.42 × 148,851.63
  4. Step 4: Simplify right side
    275,122.41x = 61,446,312,340.69
  5. Step 5: Solve for x
    x = 61,446,312,340.69/275,122.41
  6. Step 6: Final answer
    x = 223,341.72

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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.