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Finding the Fourth Proportional to 194,775.40, 292,163.10 and 155,409.40

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Solution

The fourth proportional to 194,775.40, 292,163.10 and 155,409.40 is: 233,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,775.40 : 292,163.10 = 155,409.40 : x
  2. Step 2: Convert to fraction form
    194,775.40/292,163.10 = 155,409.40/x
  3. Step 3: Cross multiply
    194,775.40x = 292,163.10 × 155,409.40
  4. Step 4: Simplify right side
    194,775.40x = 45,404,892,073.14
  5. Step 5: Solve for x
    x = 45,404,892,073.14/194,775.40
  6. Step 6: Final answer
    x = 233,114.10

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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.