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Finding the Fourth Proportional to 113,798.55, 157,101.06 and 83,137.26

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Solution

The fourth proportional to 113,798.55, 157,101.06 and 83,137.26 is: 114,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,798.55 : 157,101.06 = 83,137.26 : x
  2. Step 2: Convert to fraction form
    113,798.55/157,101.06 = 83,137.26/x
  3. Step 3: Cross multiply
    113,798.55x = 157,101.06 × 83,137.26
  4. Step 4: Simplify right side
    113,798.55x = 13,060,951,671.50
  5. Step 5: Solve for x
    x = 13,060,951,671.50/113,798.55
  6. Step 6: Final answer
    x = 114,772.57

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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.