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Finding the Fourth Proportional to 232,088.25, 320,386.70 and 146,173.50

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Solution

The fourth proportional to 232,088.25, 320,386.70 and 146,173.50 is: 201,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,088.25 : 320,386.70 = 146,173.50 : x
  2. Step 2: Convert to fraction form
    232,088.25/320,386.70 = 146,173.50/x
  3. Step 3: Cross multiply
    232,088.25x = 320,386.70 × 146,173.50
  4. Step 4: Simplify right side
    232,088.25x = 46,832,045,657.88
  5. Step 5: Solve for x
    x = 46,832,045,657.88/232,088.25
  6. Step 6: Final answer
    x = 201,785.51

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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.