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Finding the Fourth Proportional to 274,349.06, 411,421.31 and 94,384.16

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Solution

The fourth proportional to 274,349.06, 411,421.31 and 94,384.16 is: 141,541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,349.06 : 411,421.31 = 94,384.16 : x
  2. Step 2: Convert to fraction form
    274,349.06/411,421.31 = 94,384.16/x
  3. Step 3: Cross multiply
    274,349.06x = 411,421.31 × 94,384.16
  4. Step 4: Simplify right side
    274,349.06x = 38,831,652,221.42
  5. Step 5: Solve for x
    x = 38,831,652,221.42/274,349.06
  6. Step 6: Final answer
    x = 141,541.05

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Why These Related Problems?

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