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Finding the Fourth Proportional to 142,199.84, 196,235.16 and 78,537.32

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Solution

The fourth proportional to 142,199.84, 196,235.16 and 78,537.32 is: 108,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,199.84 : 196,235.16 = 78,537.32 : x
  2. Step 2: Convert to fraction form
    142,199.84/196,235.16 = 78,537.32/x
  3. Step 3: Cross multiply
    142,199.84x = 196,235.16 × 78,537.32
  4. Step 4: Simplify right side
    142,199.84x = 15,411,783,556.17
  5. Step 5: Solve for x
    x = 15,411,783,556.17/142,199.84
  6. Step 6: Final answer
    x = 108,381.16

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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.