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Finding the Fourth Proportional to 145,657.48, 218,379.30 and 61,414.24

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Solution

The fourth proportional to 145,657.48, 218,379.30 and 61,414.24 is: 92,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657.48 : 218,379.30 = 61,414.24 : x
  2. Step 2: Convert to fraction form
    145,657.48/218,379.30 = 61,414.24/x
  3. Step 3: Cross multiply
    145,657.48x = 218,379.30 × 61,414.24
  4. Step 4: Simplify right side
    145,657.48x = 13,411,598,741.23
  5. Step 5: Solve for x
    x = 13,411,598,741.23/145,657.48
  6. Step 6: Final answer
    x = 92,076.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.