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Finding the Fourth Proportional to 233,575, 322,333.86 and 132,973

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Solution

The fourth proportional to 233,575, 322,333.86 and 132,973 is: 183,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,575 : 322,333.86 = 132,973 : x
  2. Step 2: Convert to fraction form
    233,575/322,333.86 = 132,973/x
  3. Step 3: Cross multiply
    233,575x = 322,333.86 × 132,973
  4. Step 4: Simplify right side
    233,575x = 42,861,700,365.78
  5. Step 5: Solve for x
    x = 42,861,700,365.78/233,575
  6. Step 6: Final answer
    x = 183,502.94

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