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Finding the Fourth Proportional to 476,086.64, 714,126.68 and 121,096

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Solution

The fourth proportional to 476,086.64, 714,126.68 and 121,096 is: 181,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,086.64 : 714,126.68 = 121,096 : x
  2. Step 2: Convert to fraction form
    476,086.64/714,126.68 = 121,096/x
  3. Step 3: Cross multiply
    476,086.64x = 714,126.68 × 121,096
  4. Step 4: Simplify right side
    476,086.64x = 86,477,884,441.28
  5. Step 5: Solve for x
    x = 86,477,884,441.28/476,086.64
  6. Step 6: Final answer
    x = 181,643.17

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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.