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Finding the Fourth Proportional to 233,409.56, 322,106.52 and 132,807.56

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Solution

The fourth proportional to 233,409.56, 322,106.52 and 132,807.56 is: 183,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,409.56 : 322,106.52 = 132,807.56 : x
  2. Step 2: Convert to fraction form
    233,409.56/322,106.52 = 132,807.56/x
  3. Step 3: Cross multiply
    233,409.56x = 322,106.52 × 132,807.56
  4. Step 4: Simplify right side
    233,409.56x = 42,778,180,981.29
  5. Step 5: Solve for x
    x = 42,778,180,981.29/233,409.56
  6. Step 6: Final answer
    x = 183,275.19

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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.