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Finding the Fourth Proportional to 147,903.80, 221,564.10 and 88,563.20

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Solution

The fourth proportional to 147,903.80, 221,564.10 and 88,563.20 is: 132,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,903.80 : 221,564.10 = 88,563.20 : x
  2. Step 2: Convert to fraction form
    147,903.80/221,564.10 = 88,563.20/x
  3. Step 3: Cross multiply
    147,903.80x = 221,564.10 × 88,563.20
  4. Step 4: Simplify right side
    147,903.80x = 19,622,425,701.12
  5. Step 5: Solve for x
    x = 19,622,425,701.12/147,903.80
  6. Step 6: Final answer
    x = 132,670.19

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Why These Related Problems?

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