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Finding the Fourth Proportional to 233,575.50, 322,334.64 and 132,973.50

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Solution

The fourth proportional to 233,575.50, 322,334.64 and 132,973.50 is: 183,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,575.50 : 322,334.64 = 132,973.50 : x
  2. Step 2: Convert to fraction form
    233,575.50/322,334.64 = 132,973.50/x
  3. Step 3: Cross multiply
    233,575.50x = 322,334.64 × 132,973.50
  4. Step 4: Simplify right side
    233,575.50x = 42,861,965,252.04
  5. Step 5: Solve for x
    x = 42,861,965,252.04/233,575.50
  6. Step 6: Final answer
    x = 183,503.69

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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.