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Finding the Fourth Proportional to 102,341.48, 141,241.62 and 57,026.84

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Solution

The fourth proportional to 102,341.48, 141,241.62 and 57,026.84 is: 78,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,341.48 : 141,241.62 = 57,026.84 : x
  2. Step 2: Convert to fraction form
    102,341.48/141,241.62 = 57,026.84/x
  3. Step 3: Cross multiply
    102,341.48x = 141,241.62 × 57,026.84
  4. Step 4: Simplify right side
    102,341.48x = 8,054,562,772.72
  5. Step 5: Solve for x
    x = 8,054,562,772.72/102,341.48
  6. Step 6: Final answer
    x = 78,702.82

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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.