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Finding the Fourth Proportional to 113,453.84, 156,404.04 and 83,185.76

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Solution

The fourth proportional to 113,453.84, 156,404.04 and 83,185.76 is: 114,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,453.84 : 156,404.04 = 83,185.76 : x
  2. Step 2: Convert to fraction form
    113,453.84/156,404.04 = 83,185.76/x
  3. Step 3: Cross multiply
    113,453.84x = 156,404.04 × 83,185.76
  4. Step 4: Simplify right side
    113,453.84x = 13,010,588,934.47
  5. Step 5: Solve for x
    x = 13,010,588,934.47/113,453.84
  6. Step 6: Final answer
    x = 114,677.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.