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Finding the Fourth Proportional to 209,957.40, 289,743.12 and 114,465.96

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Solution

The fourth proportional to 209,957.40, 289,743.12 and 114,465.96 is: 157,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,957.40 : 289,743.12 = 114,465.96 : x
  2. Step 2: Convert to fraction form
    209,957.40/289,743.12 = 114,465.96/x
  3. Step 3: Cross multiply
    209,957.40x = 289,743.12 × 114,465.96
  4. Step 4: Simplify right side
    209,957.40x = 33,165,724,384.20
  5. Step 5: Solve for x
    x = 33,165,724,384.20/209,957.40
  6. Step 6: Final answer
    x = 157,964.07

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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.