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Finding the Fourth Proportional to 508,037.02, 762,084.69 and 153,014.02

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Solution

The fourth proportional to 508,037.02, 762,084.69 and 153,014.02 is: 229,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,037.02 : 762,084.69 = 153,014.02 : x
  2. Step 2: Convert to fraction form
    508,037.02/762,084.69 = 153,014.02/x
  3. Step 3: Cross multiply
    508,037.02x = 762,084.69 × 153,014.02
  4. Step 4: Simplify right side
    508,037.02x = 116,609,641,997.35
  5. Step 5: Solve for x
    x = 116,609,641,997.35/508,037.02
  6. Step 6: Final answer
    x = 229,529.81

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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.