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Finding the Fourth Proportional to 242,066.40, 363,445.20 and 137,090.40

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Solution

The fourth proportional to 242,066.40, 363,445.20 and 137,090.40 is: 205,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,066.40 : 363,445.20 = 137,090.40 : x
  2. Step 2: Convert to fraction form
    242,066.40/363,445.20 = 137,090.40/x
  3. Step 3: Cross multiply
    242,066.40x = 363,445.20 × 137,090.40
  4. Step 4: Simplify right side
    242,066.40x = 49,824,847,846.08
  5. Step 5: Solve for x
    x = 49,824,847,846.08/242,066.40
  6. Step 6: Final answer
    x = 205,831.32

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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.