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Finding the Fourth Proportional to 150,814.50, 208,124.04 and 83,746.50

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Solution

The fourth proportional to 150,814.50, 208,124.04 and 83,746.50 is: 115,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,814.50 : 208,124.04 = 83,746.50 : x
  2. Step 2: Convert to fraction form
    150,814.50/208,124.04 = 83,746.50/x
  3. Step 3: Cross multiply
    150,814.50x = 208,124.04 × 83,746.50
  4. Step 4: Simplify right side
    150,814.50x = 17,429,659,915.86
  5. Step 5: Solve for x
    x = 17,429,659,915.86/150,814.50
  6. Step 6: Final answer
    x = 115,570.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.