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Finding the Fourth Proportional to 126,597.34, 189,837.54 and 46,615.22

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Solution

The fourth proportional to 126,597.34, 189,837.54 and 46,615.22 is: 69,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,597.34 : 189,837.54 = 46,615.22 : x
  2. Step 2: Convert to fraction form
    126,597.34/189,837.54 = 46,615.22/x
  3. Step 3: Cross multiply
    126,597.34x = 189,837.54 × 46,615.22
  4. Step 4: Simplify right side
    126,597.34x = 8,849,318,691.36
  5. Step 5: Solve for x
    x = 8,849,318,691.36/126,597.34
  6. Step 6: Final answer
    x = 69,901.30

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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.