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Finding the Fourth Proportional to 142,182.84, 196,213.29 and 77,650.45

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Solution

The fourth proportional to 142,182.84, 196,213.29 and 77,650.45 is: 107,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,182.84 : 196,213.29 = 77,650.45 : x
  2. Step 2: Convert to fraction form
    142,182.84/196,213.29 = 77,650.45/x
  3. Step 3: Cross multiply
    142,182.84x = 196,213.29 × 77,650.45
  4. Step 4: Simplify right side
    142,182.84x = 15,236,049,482.76
  5. Step 5: Solve for x
    x = 15,236,049,482.76/142,182.84
  6. Step 6: Final answer
    x = 107,158.14

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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.