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Finding the Fourth Proportional to 209,580.59, 289,221.25 and 114,088.01

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Solution

The fourth proportional to 209,580.59, 289,221.25 and 114,088.01 is: 157,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,580.59 : 289,221.25 = 114,088.01 : x
  2. Step 2: Convert to fraction form
    209,580.59/289,221.25 = 114,088.01/x
  3. Step 3: Cross multiply
    209,580.59x = 289,221.25 × 114,088.01
  4. Step 4: Simplify right side
    209,580.59x = 32,996,676,862.21
  5. Step 5: Solve for x
    x = 32,996,676,862.21/209,580.59
  6. Step 6: Final answer
    x = 157,441.47

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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.