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Finding the Fourth Proportional to 289,554.77, 434,184.05 and 121,029.12

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Solution

The fourth proportional to 289,554.77, 434,184.05 and 121,029.12 is: 181,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,554.77 : 434,184.05 = 121,029.12 : x
  2. Step 2: Convert to fraction form
    289,554.77/434,184.05 = 121,029.12/x
  3. Step 3: Cross multiply
    289,554.77x = 434,184.05 × 121,029.12
  4. Step 4: Simplify right side
    289,554.77x = 52,548,913,792.11
  5. Step 5: Solve for x
    x = 52,548,913,792.11/289,554.77
  6. Step 6: Final answer
    x = 181,481.77

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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.