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Finding the Fourth Proportional to 196,830.28, 295,063.74 and 78,473

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Solution

The fourth proportional to 196,830.28, 295,063.74 and 78,473 is: 117,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,830.28 : 295,063.74 = 78,473 : x
  2. Step 2: Convert to fraction form
    196,830.28/295,063.74 = 78,473/x
  3. Step 3: Cross multiply
    196,830.28x = 295,063.74 × 78,473
  4. Step 4: Simplify right side
    196,830.28x = 23,154,536,869.02
  5. Step 5: Solve for x
    x = 23,154,536,869.02/196,830.28
  6. Step 6: Final answer
    x = 117,637.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.