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Finding the Fourth Proportional to 109,796, 151,518.66 and 59,495

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Solution

The fourth proportional to 109,796, 151,518.66 and 59,495 is: 82,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,796 : 151,518.66 = 59,495 : x
  2. Step 2: Convert to fraction form
    109,796/151,518.66 = 59,495/x
  3. Step 3: Cross multiply
    109,796x = 151,518.66 × 59,495
  4. Step 4: Simplify right side
    109,796x = 9,014,602,676.70
  5. Step 5: Solve for x
    x = 9,014,602,676.70/109,796
  6. Step 6: Final answer
    x = 82,103.20

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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.