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Finding the Fourth Proportional to 97,953.56, 147,102.62 and 96,551.16

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Solution

The fourth proportional to 97,953.56, 147,102.62 and 96,551.16 is: 144,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,953.56 : 147,102.62 = 96,551.16 : x
  2. Step 2: Convert to fraction form
    97,953.56/147,102.62 = 96,551.16/x
  3. Step 3: Cross multiply
    97,953.56x = 147,102.62 × 96,551.16
  4. Step 4: Simplify right side
    97,953.56x = 14,202,928,600.04
  5. Step 5: Solve for x
    x = 14,202,928,600.04/97,953.56
  6. Step 6: Final answer
    x = 144,996.55

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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.