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Finding the Fourth Proportional to 228,233.52, 314,856.09 and 147,687.03

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Solution

The fourth proportional to 228,233.52, 314,856.09 and 147,687.03 is: 203,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,233.52 : 314,856.09 = 147,687.03 : x
  2. Step 2: Convert to fraction form
    228,233.52/314,856.09 = 147,687.03/x
  3. Step 3: Cross multiply
    228,233.52x = 314,856.09 × 147,687.03
  4. Step 4: Simplify right side
    228,233.52x = 46,500,160,809.51
  5. Step 5: Solve for x
    x = 46,500,160,809.51/228,233.52
  6. Step 6: Final answer
    x = 203,739.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.