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Finding the Fourth Proportional to 144,345, 199,199.70 and 80,693.40

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Solution

The fourth proportional to 144,345, 199,199.70 and 80,693.40 is: 111,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,345 : 199,199.70 = 80,693.40 : x
  2. Step 2: Convert to fraction form
    144,345/199,199.70 = 80,693.40/x
  3. Step 3: Cross multiply
    144,345x = 199,199.70 × 80,693.40
  4. Step 4: Simplify right side
    144,345x = 16,074,101,071.98
  5. Step 5: Solve for x
    x = 16,074,101,071.98/144,345
  6. Step 6: Final answer
    x = 111,358.90

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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.