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Finding the Fourth Proportional to 142,501, 196,634.34 and 78,830.14

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Solution

The fourth proportional to 142,501, 196,634.34 and 78,830.14 is: 108,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,501 : 196,634.34 = 78,830.14 : x
  2. Step 2: Convert to fraction form
    142,501/196,634.34 = 78,830.14/x
  3. Step 3: Cross multiply
    142,501x = 196,634.34 × 78,830.14
  4. Step 4: Simplify right side
    142,501x = 15,500,712,551.01
  5. Step 5: Solve for x
    x = 15,500,712,551.01/142,501
  6. Step 6: Final answer
    x = 108,776.17

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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.