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Finding the Fourth Proportional to 194,465.40, 291,698.10 and 147,226.20

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Solution

The fourth proportional to 194,465.40, 291,698.10 and 147,226.20 is: 220,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,465.40 : 291,698.10 = 147,226.20 : x
  2. Step 2: Convert to fraction form
    194,465.40/291,698.10 = 147,226.20/x
  3. Step 3: Cross multiply
    194,465.40x = 291,698.10 × 147,226.20
  4. Step 4: Simplify right side
    194,465.40x = 42,945,602,810.22
  5. Step 5: Solve for x
    x = 42,945,602,810.22/194,465.40
  6. Step 6: Final answer
    x = 220,839.30

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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.