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Finding the Fourth Proportional to 150,777.32, 208,068.90 and 83,705

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Solution

The fourth proportional to 150,777.32, 208,068.90 and 83,705 is: 115,510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,777.32 : 208,068.90 = 83,705 : x
  2. Step 2: Convert to fraction form
    150,777.32/208,068.90 = 83,705/x
  3. Step 3: Cross multiply
    150,777.32x = 208,068.90 × 83,705
  4. Step 4: Simplify right side
    150,777.32x = 17,416,407,274.50
  5. Step 5: Solve for x
    x = 17,416,407,274.50/150,777.32
  6. Step 6: Final answer
    x = 115,510.79

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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.