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Finding the Fourth Proportional to 137,203.11, 205,670.79 and 57,264.08

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Solution

The fourth proportional to 137,203.11, 205,670.79 and 57,264.08 is: 85,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,203.11 : 205,670.79 = 57,264.08 : x
  2. Step 2: Convert to fraction form
    137,203.11/205,670.79 = 57,264.08/x
  3. Step 3: Cross multiply
    137,203.11x = 205,670.79 × 57,264.08
  4. Step 4: Simplify right side
    137,203.11x = 11,777,547,543.87
  5. Step 5: Solve for x
    x = 11,777,547,543.87/137,203.11
  6. Step 6: Final answer
    x = 85,840.24

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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.