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Finding the Fourth Proportional to 150,848, 208,176.72 and 83,780

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Solution

The fourth proportional to 150,848, 208,176.72 and 83,780 is: 115,620.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,848 : 208,176.72 = 83,780 : x
  2. Step 2: Convert to fraction form
    150,848/208,176.72 = 83,780/x
  3. Step 3: Cross multiply
    150,848x = 208,176.72 × 83,780
  4. Step 4: Simplify right side
    150,848x = 17,441,045,601.60
  5. Step 5: Solve for x
    x = 17,441,045,601.60/150,848
  6. Step 6: Final answer
    x = 115,620.00

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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.