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Finding the Fourth Proportional to 308,114.32, 462,077.40 and 130,618

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Solution

The fourth proportional to 308,114.32, 462,077.40 and 130,618 is: 195,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,114.32 : 462,077.40 = 130,618 : x
  2. Step 2: Convert to fraction form
    308,114.32/462,077.40 = 130,618/x
  3. Step 3: Cross multiply
    308,114.32x = 462,077.40 × 130,618
  4. Step 4: Simplify right side
    308,114.32x = 60,355,625,833.20
  5. Step 5: Solve for x
    x = 60,355,625,833.20/308,114.32
  6. Step 6: Final answer
    x = 195,887.12

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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.