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Finding the Fourth Proportional to 207,577.20, 310,709.70 and 148,528.20

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Solution

The fourth proportional to 207,577.20, 310,709.70 and 148,528.20 is: 222,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,577.20 : 310,709.70 = 148,528.20 : x
  2. Step 2: Convert to fraction form
    207,577.20/310,709.70 = 148,528.20/x
  3. Step 3: Cross multiply
    207,577.20x = 310,709.70 × 148,528.20
  4. Step 4: Simplify right side
    207,577.20x = 46,149,152,463.54
  5. Step 5: Solve for x
    x = 46,149,152,463.54/207,577.20
  6. Step 6: Final answer
    x = 222,322.84

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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.