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Finding the Fourth Proportional to 140,436.34, 193,802.16 and 76,774.14

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Solution

The fourth proportional to 140,436.34, 193,802.16 and 76,774.14 is: 105,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,436.34 : 193,802.16 = 76,774.14 : x
  2. Step 2: Convert to fraction form
    140,436.34/193,802.16 = 76,774.14/x
  3. Step 3: Cross multiply
    140,436.34x = 193,802.16 × 76,774.14
  4. Step 4: Simplify right side
    140,436.34x = 14,878,994,164.14
  5. Step 5: Solve for x
    x = 14,878,994,164.14/140,436.34
  6. Step 6: Final answer
    x = 105,948.32

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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.