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Finding the Fourth Proportional to 233,538.39, 322,264.44 and 152,838.09

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Solution

The fourth proportional to 233,538.39, 322,264.44 and 152,838.09 is: 210,904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,538.39 : 322,264.44 = 152,838.09 : x
  2. Step 2: Convert to fraction form
    233,538.39/322,264.44 = 152,838.09/x
  3. Step 3: Cross multiply
    233,538.39x = 322,264.44 × 152,838.09
  4. Step 4: Simplify right side
    233,538.39x = 49,254,281,484.52
  5. Step 5: Solve for x
    x = 49,254,281,484.52/233,538.39
  6. Step 6: Final answer
    x = 210,904.43

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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.