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Finding the Fourth Proportional to 233,663.07, 322,243.32 and 153,061.20

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Solution

The fourth proportional to 233,663.07, 322,243.32 and 153,061.20 is: 211,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,663.07 : 322,243.32 = 153,061.20 : x
  2. Step 2: Convert to fraction form
    233,663.07/322,243.32 = 153,061.20/x
  3. Step 3: Cross multiply
    233,663.07x = 322,243.32 × 153,061.20
  4. Step 4: Simplify right side
    233,663.07x = 49,322,949,251.18
  5. Step 5: Solve for x
    x = 49,322,949,251.18/233,663.07
  6. Step 6: Final answer
    x = 211,085.77

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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.