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Finding the Fourth Proportional to 164,051.10, 245,493.45 and 113,895.90

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Solution

The fourth proportional to 164,051.10, 245,493.45 and 113,895.90 is: 170,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,051.10 : 245,493.45 = 113,895.90 : x
  2. Step 2: Convert to fraction form
    164,051.10/245,493.45 = 113,895.90/x
  3. Step 3: Cross multiply
    164,051.10x = 245,493.45 × 113,895.90
  4. Step 4: Simplify right side
    164,051.10x = 27,960,697,431.86
  5. Step 5: Solve for x
    x = 27,960,697,431.86/164,051.10
  6. Step 6: Final answer
    x = 170,438.95

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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.