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Finding the Fourth Proportional to 174,037, 261,055.74 and 75,541

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Solution

The fourth proportional to 174,037, 261,055.74 and 75,541 is: 113,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,037 : 261,055.74 = 75,541 : x
  2. Step 2: Convert to fraction form
    174,037/261,055.74 = 75,541/x
  3. Step 3: Cross multiply
    174,037x = 261,055.74 × 75,541
  4. Step 4: Simplify right side
    174,037x = 19,720,411,655.34
  5. Step 5: Solve for x
    x = 19,720,411,655.34/174,037
  6. Step 6: Final answer
    x = 113,311.60

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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.