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Finding the Fourth Proportional to 233,164.98, 321,774.93 and 132,569.46

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Solution

The fourth proportional to 233,164.98, 321,774.93 and 132,569.46 is: 182,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,164.98 : 321,774.93 = 132,569.46 : x
  2. Step 2: Convert to fraction form
    233,164.98/321,774.93 = 132,569.46/x
  3. Step 3: Cross multiply
    233,164.98x = 321,774.93 × 132,569.46
  4. Step 4: Simplify right side
    233,164.98x = 42,657,528,711.64
  5. Step 5: Solve for x
    x = 42,657,528,711.64/233,164.98
  6. Step 6: Final answer
    x = 182,949.98

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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.