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Finding the Fourth Proportional to 114,486.12, 157,858.02 and 107,401.32

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Solution

The fourth proportional to 114,486.12, 157,858.02 and 107,401.32 is: 148,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,486.12 : 157,858.02 = 107,401.32 : x
  2. Step 2: Convert to fraction form
    114,486.12/157,858.02 = 107,401.32/x
  3. Step 3: Cross multiply
    114,486.12x = 157,858.02 × 107,401.32
  4. Step 4: Simplify right side
    114,486.12x = 16,954,159,720.59
  5. Step 5: Solve for x
    x = 16,954,159,720.59/114,486.12
  6. Step 6: Final answer
    x = 148,089.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.