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Finding the Fourth Proportional to 142,501.84, 196,518 and 106,283.30

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Solution

The fourth proportional to 142,501.84, 196,518 and 106,283.30 is: 146,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,501.84 : 196,518 = 106,283.30 : x
  2. Step 2: Convert to fraction form
    142,501.84/196,518 = 106,283.30/x
  3. Step 3: Cross multiply
    142,501.84x = 196,518 × 106,283.30
  4. Step 4: Simplify right side
    142,501.84x = 20,886,581,549.40
  5. Step 5: Solve for x
    x = 20,886,581,549.40/142,501.84
  6. Step 6: Final answer
    x = 146,570.61

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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.