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Finding the Fourth Proportional to 233,314, 322,072.84 and 156,877.40

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Solution

The fourth proportional to 233,314, 322,072.84 and 156,877.40 is: 216,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,314 : 322,072.84 = 156,877.40 : x
  2. Step 2: Convert to fraction form
    233,314/322,072.84 = 156,877.40/x
  3. Step 3: Cross multiply
    233,314x = 322,072.84 × 156,877.40
  4. Step 4: Simplify right side
    233,314x = 50,525,949,749.82
  5. Step 5: Solve for x
    x = 50,525,949,749.82/233,314
  6. Step 6: Final answer
    x = 216,557.73

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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.