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Finding the Fourth Proportional to 110,734.40, 153,013.68 and 78,848

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Solution

The fourth proportional to 110,734.40, 153,013.68 and 78,848 is: 108,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,734.40 : 153,013.68 = 78,848 : x
  2. Step 2: Convert to fraction form
    110,734.40/153,013.68 = 78,848/x
  3. Step 3: Cross multiply
    110,734.40x = 153,013.68 × 78,848
  4. Step 4: Simplify right side
    110,734.40x = 12,064,822,640.64
  5. Step 5: Solve for x
    x = 12,064,822,640.64/110,734.40
  6. Step 6: Final answer
    x = 108,952.80

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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.