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Finding the Fourth Proportional to 242,630.32, 363,941.16 and 102,390.16

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Solution

The fourth proportional to 242,630.32, 363,941.16 and 102,390.16 is: 153,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,630.32 : 363,941.16 = 102,390.16 : x
  2. Step 2: Convert to fraction form
    242,630.32/363,941.16 = 102,390.16/x
  3. Step 3: Cross multiply
    242,630.32x = 363,941.16 × 102,390.16
  4. Step 4: Simplify right side
    242,630.32x = 37,263,993,602.99
  5. Step 5: Solve for x
    x = 37,263,993,602.99/242,630.32
  6. Step 6: Final answer
    x = 153,583.42

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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.