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Finding the Fourth Proportional to 140,106.69, 193,376.01 and 85,668.17

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Solution

The fourth proportional to 140,106.69, 193,376.01 and 85,668.17 is: 118,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,106.69 : 193,376.01 = 85,668.17 : x
  2. Step 2: Convert to fraction form
    140,106.69/193,376.01 = 85,668.17/x
  3. Step 3: Cross multiply
    140,106.69x = 193,376.01 × 85,668.17
  4. Step 4: Simplify right side
    140,106.69x = 16,566,167,931.72
  5. Step 5: Solve for x
    x = 16,566,167,931.72/140,106.69
  6. Step 6: Final answer
    x = 118,239.66

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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.