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Finding the Fourth Proportional to 114,447.96, 157,938.53 and 63,464.28

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Solution

The fourth proportional to 114,447.96, 157,938.53 and 63,464.28 is: 87,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,447.96 : 157,938.53 = 63,464.28 : x
  2. Step 2: Convert to fraction form
    114,447.96/157,938.53 = 63,464.28/x
  3. Step 3: Cross multiply
    114,447.96x = 157,938.53 × 63,464.28
  4. Step 4: Simplify right side
    114,447.96x = 10,023,455,069.52
  5. Step 5: Solve for x
    x = 10,023,455,069.52/114,447.96
  6. Step 6: Final answer
    x = 87,580.90

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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.