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Finding the Fourth Proportional to 114,001, 157,320.96 and 63,700

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Solution

The fourth proportional to 114,001, 157,320.96 and 63,700 is: 87,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,001 : 157,320.96 = 63,700 : x
  2. Step 2: Convert to fraction form
    114,001/157,320.96 = 63,700/x
  3. Step 3: Cross multiply
    114,001x = 157,320.96 × 63,700
  4. Step 4: Simplify right side
    114,001x = 10,021,345,152
  5. Step 5: Solve for x
    x = 10,021,345,152/114,001
  6. Step 6: Final answer
    x = 87,905.77

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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.