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Finding the Fourth Proportional to 233,659.36, 322,337.52 and 153,052

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Solution

The fourth proportional to 233,659.36, 322,337.52 and 153,052 is: 211,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,659.36 : 322,337.52 = 153,052 : x
  2. Step 2: Convert to fraction form
    233,659.36/322,337.52 = 153,052/x
  3. Step 3: Cross multiply
    233,659.36x = 322,337.52 × 153,052
  4. Step 4: Simplify right side
    233,659.36x = 49,334,402,111.04
  5. Step 5: Solve for x
    x = 49,334,402,111.04/233,659.36
  6. Step 6: Final answer
    x = 211,138.14

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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.