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Finding the Fourth Proportional to 289,781.88, 434,563.61 and 121,313.84

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Solution

The fourth proportional to 289,781.88, 434,563.61 and 121,313.84 is: 181,925.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,781.88 : 434,563.61 = 121,313.84 : x
  2. Step 2: Convert to fraction form
    289,781.88/434,563.61 = 121,313.84/x
  3. Step 3: Cross multiply
    289,781.88x = 434,563.61 × 121,313.84
  4. Step 4: Simplify right side
    289,781.88x = 52,718,581,643.06
  5. Step 5: Solve for x
    x = 52,718,581,643.06/289,781.88
  6. Step 6: Final answer
    x = 181,925.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.