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Finding the Fourth Proportional to 142,083.34, 196,061.05 and 78,417.04

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Solution

The fourth proportional to 142,083.34, 196,061.05 and 78,417.04 is: 108,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,083.34 : 196,061.05 = 78,417.04 : x
  2. Step 2: Convert to fraction form
    142,083.34/196,061.05 = 78,417.04/x
  3. Step 3: Cross multiply
    142,083.34x = 196,061.05 × 78,417.04
  4. Step 4: Simplify right side
    142,083.34x = 15,374,526,808.16
  5. Step 5: Solve for x
    x = 15,374,526,808.16/142,083.34
  6. Step 6: Final answer
    x = 108,207.81

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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.