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Finding the Fourth Proportional to 233,574, 322,332.48 and 132,972

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Solution

The fourth proportional to 233,574, 322,332.48 and 132,972 is: 183,501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,574 : 322,332.48 = 132,972 : x
  2. Step 2: Convert to fraction form
    233,574/322,332.48 = 132,972/x
  3. Step 3: Cross multiply
    233,574x = 322,332.48 × 132,972
  4. Step 4: Simplify right side
    233,574x = 42,861,194,530.56
  5. Step 5: Solve for x
    x = 42,861,194,530.56/233,574
  6. Step 6: Final answer
    x = 183,501.56

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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.