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Finding the Fourth Proportional to 232,439.64, 320,702.94 and 141,810.36

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Solution

The fourth proportional to 232,439.64, 320,702.94 and 141,810.36 is: 195,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,439.64 : 320,702.94 = 141,810.36 : x
  2. Step 2: Convert to fraction form
    232,439.64/320,702.94 = 141,810.36/x
  3. Step 3: Cross multiply
    232,439.64x = 320,702.94 × 141,810.36
  4. Step 4: Simplify right side
    232,439.64x = 45,478,999,374.46
  5. Step 5: Solve for x
    x = 45,478,999,374.46/232,439.64
  6. Step 6: Final answer
    x = 195,659.40

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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.