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Finding the Fourth Proportional to 209,263.32, 288,779.85 and 113,772.42

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Solution

The fourth proportional to 209,263.32, 288,779.85 and 113,772.42 is: 157,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,263.32 : 288,779.85 = 113,772.42 : x
  2. Step 2: Convert to fraction form
    209,263.32/288,779.85 = 113,772.42/x
  3. Step 3: Cross multiply
    209,263.32x = 288,779.85 × 113,772.42
  4. Step 4: Simplify right side
    209,263.32x = 32,855,182,381.74
  5. Step 5: Solve for x
    x = 32,855,182,381.74/209,263.32
  6. Step 6: Final answer
    x = 157,004.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.