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Finding the Fourth Proportional to 202,329.40, 303,494.10 and 97,094.20

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Solution

The fourth proportional to 202,329.40, 303,494.10 and 97,094.20 is: 145,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,329.40 : 303,494.10 = 97,094.20 : x
  2. Step 2: Convert to fraction form
    202,329.40/303,494.10 = 97,094.20/x
  3. Step 3: Cross multiply
    202,329.40x = 303,494.10 × 97,094.20
  4. Step 4: Simplify right side
    202,329.40x = 29,467,516,844.22
  5. Step 5: Solve for x
    x = 29,467,516,844.22/202,329.40
  6. Step 6: Final answer
    x = 145,641.30

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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.