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Finding the Fourth Proportional to 232,075.13, 320,263.29 and 141,431.45

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Solution

The fourth proportional to 232,075.13, 320,263.29 and 141,431.45 is: 195,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,075.13 : 320,263.29 = 141,431.45 : x
  2. Step 2: Convert to fraction form
    232,075.13/320,263.29 = 141,431.45/x
  3. Step 3: Cross multiply
    232,075.13x = 320,263.29 × 141,431.45
  4. Step 4: Simplify right side
    232,075.13x = 45,295,301,486.47
  5. Step 5: Solve for x
    x = 45,295,301,486.47/232,075.13
  6. Step 6: Final answer
    x = 195,175.16

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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.