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Finding the Fourth Proportional to 114,225.24, 157,631.04 and 63,241.50

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Solution

The fourth proportional to 114,225.24, 157,631.04 and 63,241.50 is: 87,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,225.24 : 157,631.04 = 63,241.50 : x
  2. Step 2: Convert to fraction form
    114,225.24/157,631.04 = 63,241.50/x
  3. Step 3: Cross multiply
    114,225.24x = 157,631.04 × 63,241.50
  4. Step 4: Simplify right side
    114,225.24x = 9,968,823,416.16
  5. Step 5: Solve for x
    x = 9,968,823,416.16/114,225.24
  6. Step 6: Final answer
    x = 87,273.39

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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.