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Finding the Fourth Proportional to 83,338.86, 114,899.06 and 53,113.16

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Solution

The fourth proportional to 83,338.86, 114,899.06 and 53,113.16 is: 73,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,338.86 : 114,899.06 = 53,113.16 : x
  2. Step 2: Convert to fraction form
    83,338.86/114,899.06 = 53,113.16/x
  3. Step 3: Cross multiply
    83,338.86x = 114,899.06 × 53,113.16
  4. Step 4: Simplify right side
    83,338.86x = 6,102,652,157.63
  5. Step 5: Solve for x
    x = 6,102,652,157.63/83,338.86
  6. Step 6: Final answer
    x = 73,226.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.