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Finding the Fourth Proportional to 208,807.14, 288,154.04 and 113,313.83

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Solution

The fourth proportional to 208,807.14, 288,154.04 and 113,313.83 is: 156,373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,807.14 : 288,154.04 = 113,313.83 : x
  2. Step 2: Convert to fraction form
    208,807.14/288,154.04 = 113,313.83/x
  3. Step 3: Cross multiply
    208,807.14x = 288,154.04 × 113,313.83
  4. Step 4: Simplify right side
    208,807.14x = 32,651,835,895.03
  5. Step 5: Solve for x
    x = 32,651,835,895.03/208,807.14
  6. Step 6: Final answer
    x = 156,373.18

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Why These Related Problems?

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