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Finding the Fourth Proportional to 202,196.97, 303,334.34 and 77,528.25

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Solution

The fourth proportional to 202,196.97, 303,334.34 and 77,528.25 is: 116,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,196.97 : 303,334.34 = 77,528.25 : x
  2. Step 2: Convert to fraction form
    202,196.97/303,334.34 = 77,528.25/x
  3. Step 3: Cross multiply
    202,196.97x = 303,334.34 × 77,528.25
  4. Step 4: Simplify right side
    202,196.97x = 23,516,980,157.46
  5. Step 5: Solve for x
    x = 23,516,980,157.46/202,196.97
  6. Step 6: Final answer
    x = 116,307.28

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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.