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Finding the Fourth Proportional to 209,088.80, 288,541 and 113,596.28

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Solution

The fourth proportional to 209,088.80, 288,541 and 113,596.28 is: 156,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,088.80 : 288,541 = 113,596.28 : x
  2. Step 2: Convert to fraction form
    209,088.80/288,541 = 113,596.28/x
  3. Step 3: Cross multiply
    209,088.80x = 288,541 × 113,596.28
  4. Step 4: Simplify right side
    209,088.80x = 32,777,184,227.48
  5. Step 5: Solve for x
    x = 32,777,184,227.48/209,088.80
  6. Step 6: Final answer
    x = 156,762.03

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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.