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Finding the Fourth Proportional to 126,402, 189,634.19 and 37,655.16

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Solution

The fourth proportional to 126,402, 189,634.19 and 37,655.16 is: 56,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,402 : 189,634.19 = 37,655.16 : x
  2. Step 2: Convert to fraction form
    126,402/189,634.19 = 37,655.16/x
  3. Step 3: Cross multiply
    126,402x = 189,634.19 × 37,655.16
  4. Step 4: Simplify right side
    126,402x = 7,140,705,765.92
  5. Step 5: Solve for x
    x = 7,140,705,765.92/126,402
  6. Step 6: Final answer
    x = 56,492.03

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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.