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Finding the Fourth Proportional to 376,245.96, 564,421.86 and 110,026.50

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Solution

The fourth proportional to 376,245.96, 564,421.86 and 110,026.50 is: 165,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,245.96 : 564,421.86 = 110,026.50 : x
  2. Step 2: Convert to fraction form
    376,245.96/564,421.86 = 110,026.50/x
  3. Step 3: Cross multiply
    376,245.96x = 564,421.86 × 110,026.50
  4. Step 4: Simplify right side
    376,245.96x = 62,101,361,779.29
  5. Step 5: Solve for x
    x = 62,101,361,779.29/376,245.96
  6. Step 6: Final answer
    x = 165,055.23

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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.