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Finding the Fourth Proportional to 147,509.46, 221,265.48 and 47,669.64

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Solution

The fourth proportional to 147,509.46, 221,265.48 and 47,669.64 is: 71,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,509.46 : 221,265.48 = 47,669.64 : x
  2. Step 2: Convert to fraction form
    147,509.46/221,265.48 = 47,669.64/x
  3. Step 3: Cross multiply
    147,509.46x = 221,265.48 × 47,669.64
  4. Step 4: Simplify right side
    147,509.46x = 10,547,645,776.03
  5. Step 5: Solve for x
    x = 10,547,645,776.03/147,509.46
  6. Step 6: Final answer
    x = 71,504.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.