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Finding the Fourth Proportional to 134,957, 202,297.26 and 56,117

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Solution

The fourth proportional to 134,957, 202,297.26 and 56,117 is: 84,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,957 : 202,297.26 = 56,117 : x
  2. Step 2: Convert to fraction form
    134,957/202,297.26 = 56,117/x
  3. Step 3: Cross multiply
    134,957x = 202,297.26 × 56,117
  4. Step 4: Simplify right side
    134,957x = 11,352,315,339.42
  5. Step 5: Solve for x
    x = 11,352,315,339.42/134,957
  6. Step 6: Final answer
    x = 84,118.02

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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.