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Finding the Fourth Proportional to 508,038.02, 762,086.19 and 153,015.02

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Solution

The fourth proportional to 508,038.02, 762,086.19 and 153,015.02 is: 229,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,038.02 : 762,086.19 = 153,015.02 : x
  2. Step 2: Convert to fraction form
    508,038.02/762,086.19 = 153,015.02/x
  3. Step 3: Cross multiply
    508,038.02x = 762,086.19 × 153,015.02
  4. Step 4: Simplify right side
    508,038.02x = 116,610,633,604.57
  5. Step 5: Solve for x
    x = 116,610,633,604.57/508,038.02
  6. Step 6: Final answer
    x = 229,531.31

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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.