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Finding the Fourth Proportional to 138,065.16, 190,544.35 and 84,385.93

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Solution

The fourth proportional to 138,065.16, 190,544.35 and 84,385.93 is: 116,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,065.16 : 190,544.35 = 84,385.93 : x
  2. Step 2: Convert to fraction form
    138,065.16/190,544.35 = 84,385.93/x
  3. Step 3: Cross multiply
    138,065.16x = 190,544.35 × 84,385.93
  4. Step 4: Simplify right side
    138,065.16x = 16,079,261,473.26
  5. Step 5: Solve for x
    x = 16,079,261,473.26/138,065.16
  6. Step 6: Final answer
    x = 116,461.40

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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.