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Finding the Fourth Proportional to 209,558.52, 314,384.63 and 76,438.77

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Solution

The fourth proportional to 209,558.52, 314,384.63 and 76,438.77 is: 114,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,558.52 : 314,384.63 = 76,438.77 : x
  2. Step 2: Convert to fraction form
    209,558.52/314,384.63 = 76,438.77/x
  3. Step 3: Cross multiply
    209,558.52x = 314,384.63 × 76,438.77
  4. Step 4: Simplify right side
    209,558.52x = 24,031,173,840.03
  5. Step 5: Solve for x
    x = 24,031,173,840.03/209,558.52
  6. Step 6: Final answer
    x = 114,675.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.