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Finding the Fourth Proportional to 233,887.50, 322,764.75 and 127,903.50

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Solution

The fourth proportional to 233,887.50, 322,764.75 and 127,903.50 is: 176,506.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,887.50 : 322,764.75 = 127,903.50 : x
  2. Step 2: Convert to fraction form
    233,887.50/322,764.75 = 127,903.50/x
  3. Step 3: Cross multiply
    233,887.50x = 322,764.75 × 127,903.50
  4. Step 4: Simplify right side
    233,887.50x = 41,282,741,201.63
  5. Step 5: Solve for x
    x = 41,282,741,201.63/233,887.50
  6. Step 6: Final answer
    x = 176,506.83

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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.