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Finding the Fourth Proportional to 209,498.40, 289,110.48 and 114,007.68

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Solution

The fourth proportional to 209,498.40, 289,110.48 and 114,007.68 is: 157,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,498.40 : 289,110.48 = 114,007.68 : x
  2. Step 2: Convert to fraction form
    209,498.40/289,110.48 = 114,007.68/x
  3. Step 3: Cross multiply
    209,498.40x = 289,110.48 × 114,007.68
  4. Step 4: Simplify right side
    209,498.40x = 32,960,815,088.49
  5. Step 5: Solve for x
    x = 32,960,815,088.49/209,498.40
  6. Step 6: Final answer
    x = 157,332.06

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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.