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Finding the Fourth Proportional to 233,352, 322,025.76 and 127,368

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Solution

The fourth proportional to 233,352, 322,025.76 and 127,368 is: 175,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,352 : 322,025.76 = 127,368 : x
  2. Step 2: Convert to fraction form
    233,352/322,025.76 = 127,368/x
  3. Step 3: Cross multiply
    233,352x = 322,025.76 × 127,368
  4. Step 4: Simplify right side
    233,352x = 41,015,776,999.68
  5. Step 5: Solve for x
    x = 41,015,776,999.68/233,352
  6. Step 6: Final answer
    x = 175,767.84

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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.