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Finding the Fourth Proportional to 233,264.96, 348,077.41 and 208,132.16

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Solution

The fourth proportional to 233,264.96, 348,077.41 and 208,132.16 is: 310,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,264.96 : 348,077.41 = 208,132.16 : x
  2. Step 2: Convert to fraction form
    233,264.96/348,077.41 = 208,132.16/x
  3. Step 3: Cross multiply
    233,264.96x = 348,077.41 × 208,132.16
  4. Step 4: Simplify right side
    233,264.96x = 72,446,103,190.51
  5. Step 5: Solve for x
    x = 72,446,103,190.51/233,264.96
  6. Step 6: Final answer
    x = 310,574.31

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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.