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Finding the Fourth Proportional to 142,075.66, 196,053.96 and 81,646.42

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Solution

The fourth proportional to 142,075.66, 196,053.96 and 81,646.42 is: 112,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,075.66 : 196,053.96 = 81,646.42 : x
  2. Step 2: Convert to fraction form
    142,075.66/196,053.96 = 81,646.42/x
  3. Step 3: Cross multiply
    142,075.66x = 196,053.96 × 81,646.42
  4. Step 4: Simplify right side
    142,075.66x = 16,007,103,960.82
  5. Step 5: Solve for x
    x = 16,007,103,960.82/142,075.66
  6. Step 6: Final answer
    x = 112,666.05

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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.