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Finding the Fourth Proportional to 100,898.14, 150,973.50 and 63,157.50

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Solution

The fourth proportional to 100,898.14, 150,973.50 and 63,157.50 is: 94,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,898.14 : 150,973.50 = 63,157.50 : x
  2. Step 2: Convert to fraction form
    100,898.14/150,973.50 = 63,157.50/x
  3. Step 3: Cross multiply
    100,898.14x = 150,973.50 × 63,157.50
  4. Step 4: Simplify right side
    100,898.14x = 9,535,108,826.25
  5. Step 5: Solve for x
    x = 9,535,108,826.25/100,898.14
  6. Step 6: Final answer
    x = 94,502.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.