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Finding the Fourth Proportional to 233,261.96, 348,072.94 and 208,129.16

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Solution

The fourth proportional to 233,261.96, 348,072.94 and 208,129.16 is: 310,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,261.96 : 348,072.94 = 208,129.16 : x
  2. Step 2: Convert to fraction form
    233,261.96/348,072.94 = 208,129.16/x
  3. Step 3: Cross multiply
    233,261.96x = 348,072.94 × 208,129.16
  4. Step 4: Simplify right side
    233,261.96x = 72,444,128,620.93
  5. Step 5: Solve for x
    x = 72,444,128,620.93/233,261.96
  6. Step 6: Final answer
    x = 310,569.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.