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Finding the Fourth Proportional to 209,011.36, 288,430.93 and 113,516

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Solution

The fourth proportional to 209,011.36, 288,430.93 and 113,516 is: 156,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,011.36 : 288,430.93 = 113,516 : x
  2. Step 2: Convert to fraction form
    209,011.36/288,430.93 = 113,516/x
  3. Step 3: Cross multiply
    209,011.36x = 288,430.93 × 113,516
  4. Step 4: Simplify right side
    209,011.36x = 32,741,525,449.88
  5. Step 5: Solve for x
    x = 32,741,525,449.88/209,011.36
  6. Step 6: Final answer
    x = 156,649.50

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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.