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Finding the Fourth Proportional to 114,288.96, 157,710.86 and 63,298.02

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Solution

The fourth proportional to 114,288.96, 157,710.86 and 63,298.02 is: 87,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,288.96 : 157,710.86 = 63,298.02 : x
  2. Step 2: Convert to fraction form
    114,288.96/157,710.86 = 63,298.02/x
  3. Step 3: Cross multiply
    114,288.96x = 157,710.86 × 63,298.02
  4. Step 4: Simplify right side
    114,288.96x = 9,982,785,170.50
  5. Step 5: Solve for x
    x = 9,982,785,170.50/114,288.96
  6. Step 6: Final answer
    x = 87,346.89

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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.