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Finding the Fourth Proportional to 98,232, 147,358.88 and 35,066.84

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Solution

The fourth proportional to 98,232, 147,358.88 and 35,066.84 is: 52,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,232 : 147,358.88 = 35,066.84 : x
  2. Step 2: Convert to fraction form
    98,232/147,358.88 = 35,066.84/x
  3. Step 3: Cross multiply
    98,232x = 147,358.88 × 35,066.84
  4. Step 4: Simplify right side
    98,232x = 5,167,410,267.54
  5. Step 5: Solve for x
    x = 5,167,410,267.54/98,232
  6. Step 6: Final answer
    x = 52,604.14

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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.