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Finding the Fourth Proportional to 142,312.80, 196,406.88 and 81,886.08

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Solution

The fourth proportional to 142,312.80, 196,406.88 and 81,886.08 is: 113,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,312.80 : 196,406.88 = 81,886.08 : x
  2. Step 2: Convert to fraction form
    142,312.80/196,406.88 = 81,886.08/x
  3. Step 3: Cross multiply
    142,312.80x = 196,406.88 × 81,886.08
  4. Step 4: Simplify right side
    142,312.80x = 16,082,989,488.23
  5. Step 5: Solve for x
    x = 16,082,989,488.23/142,312.80
  6. Step 6: Final answer
    x = 113,011.55

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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.