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Finding the Fourth Proportional to 142,951, 197,143.23 and 89,240.98

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Solution

The fourth proportional to 142,951, 197,143.23 and 89,240.98 is: 123,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,951 : 197,143.23 = 89,240.98 : x
  2. Step 2: Convert to fraction form
    142,951/197,143.23 = 89,240.98/x
  3. Step 3: Cross multiply
    142,951x = 197,143.23 × 89,240.98
  4. Step 4: Simplify right side
    142,951x = 17,593,255,045.57
  5. Step 5: Solve for x
    x = 17,593,255,045.57/142,951
  6. Step 6: Final answer
    x = 123,071.93

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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.