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Finding the Fourth Proportional to 242,762.40, 363,949.20 and 102,405.60

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Solution

The fourth proportional to 242,762.40, 363,949.20 and 102,405.60 is: 153,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,762.40 : 363,949.20 = 102,405.60 : x
  2. Step 2: Convert to fraction form
    242,762.40/363,949.20 = 102,405.60/x
  3. Step 3: Cross multiply
    242,762.40x = 363,949.20 × 102,405.60
  4. Step 4: Simplify right side
    242,762.40x = 37,270,436,195.52
  5. Step 5: Solve for x
    x = 37,270,436,195.52/242,762.40
  6. Step 6: Final answer
    x = 153,526.40

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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.