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Finding the Fourth Proportional to 242,068.40, 363,102.60 and 195,412.40

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Solution

The fourth proportional to 242,068.40, 363,102.60 and 195,412.40 is: 293,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,068.40 : 363,102.60 = 195,412.40 : x
  2. Step 2: Convert to fraction form
    242,068.40/363,102.60 = 195,412.40/x
  3. Step 3: Cross multiply
    242,068.40x = 363,102.60 × 195,412.40
  4. Step 4: Simplify right side
    242,068.40x = 70,954,750,512.24
  5. Step 5: Solve for x
    x = 70,954,750,512.24/242,068.40
  6. Step 6: Final answer
    x = 293,118.60

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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.