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Finding the Fourth Proportional to 289,598.60, 434,081.10 and 102,513.80

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Solution

The fourth proportional to 289,598.60, 434,081.10 and 102,513.80 is: 153,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,598.60 : 434,081.10 = 102,513.80 : x
  2. Step 2: Convert to fraction form
    289,598.60/434,081.10 = 102,513.80/x
  3. Step 3: Cross multiply
    289,598.60x = 434,081.10 × 102,513.80
  4. Step 4: Simplify right side
    289,598.60x = 44,499,303,069.18
  5. Step 5: Solve for x
    x = 44,499,303,069.18/289,598.60
  6. Step 6: Final answer
    x = 153,658.56

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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.