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Finding the Fourth Proportional to 289,556.40, 434,356.20 and 102,543.60

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Solution

The fourth proportional to 289,556.40, 434,356.20 and 102,543.60 is: 153,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,556.40 : 434,356.20 = 102,543.60 : x
  2. Step 2: Convert to fraction form
    289,556.40/434,356.20 = 102,543.60/x
  3. Step 3: Cross multiply
    289,556.40x = 434,356.20 × 102,543.60
  4. Step 4: Simplify right side
    289,556.40x = 44,540,448,430.32
  5. Step 5: Solve for x
    x = 44,540,448,430.32/289,556.40
  6. Step 6: Final answer
    x = 153,823.05

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