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Finding the Fourth Proportional to 146,646.79, 202,347.93 and 85,405.93

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Solution

The fourth proportional to 146,646.79, 202,347.93 and 85,405.93 is: 117,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,646.79 : 202,347.93 = 85,405.93 : x
  2. Step 2: Convert to fraction form
    146,646.79/202,347.93 = 85,405.93/x
  3. Step 3: Cross multiply
    146,646.79x = 202,347.93 × 85,405.93
  4. Step 4: Simplify right side
    146,646.79x = 17,281,713,145.22
  5. Step 5: Solve for x
    x = 17,281,713,145.22/146,646.79
  6. Step 6: Final answer
    x = 117,845.83

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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.