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Finding the Fourth Proportional to 150,504.89, 207,706.08 and 83,436.89

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Solution

The fourth proportional to 150,504.89, 207,706.08 and 83,436.89 is: 115,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,504.89 : 207,706.08 = 83,436.89 : x
  2. Step 2: Convert to fraction form
    150,504.89/207,706.08 = 83,436.89/x
  3. Step 3: Cross multiply
    150,504.89x = 207,706.08 × 83,436.89
  4. Step 4: Simplify right side
    150,504.89x = 17,330,348,310.76
  5. Step 5: Solve for x
    x = 17,330,348,310.76/150,504.89
  6. Step 6: Final answer
    x = 115,148.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.