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Finding the Fourth Proportional to 233,515.50, 322,251.75 and 132,913.50

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Solution

The fourth proportional to 233,515.50, 322,251.75 and 132,913.50 is: 183,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,515.50 : 322,251.75 = 132,913.50 : x
  2. Step 2: Convert to fraction form
    233,515.50/322,251.75 = 132,913.50/x
  3. Step 3: Cross multiply
    233,515.50x = 322,251.75 × 132,913.50
  4. Step 4: Simplify right side
    233,515.50x = 42,831,607,973.63
  5. Step 5: Solve for x
    x = 42,831,607,973.63/233,515.50
  6. Step 6: Final answer
    x = 183,420.83

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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.