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Finding the Fourth Proportional to 135,848, 187,470.60 and 76,232

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Solution

The fourth proportional to 135,848, 187,470.60 and 76,232 is: 105,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,848 : 187,470.60 = 76,232 : x
  2. Step 2: Convert to fraction form
    135,848/187,470.60 = 76,232/x
  3. Step 3: Cross multiply
    135,848x = 187,470.60 × 76,232
  4. Step 4: Simplify right side
    135,848x = 14,291,258,779.20
  5. Step 5: Solve for x
    x = 14,291,258,779.20/135,848
  6. Step 6: Final answer
    x = 105,200.36

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Why These Related Problems?

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