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Finding the Fourth Proportional to 150,307.53, 207,417 and 82,324.80

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Solution

The fourth proportional to 150,307.53, 207,417 and 82,324.80 is: 113,604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,307.53 : 207,417 = 82,324.80 : x
  2. Step 2: Convert to fraction form
    150,307.53/207,417 = 82,324.80/x
  3. Step 3: Cross multiply
    150,307.53x = 207,417 × 82,324.80
  4. Step 4: Simplify right side
    150,307.53x = 17,075,563,041.60
  5. Step 5: Solve for x
    x = 17,075,563,041.60/150,307.53
  6. Step 6: Final answer
    x = 113,604.18

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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.