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Finding the Fourth Proportional to 83,202.86, 114,820.00 and 45,477.11

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Solution

The fourth proportional to 83,202.86, 114,820.00 and 45,477.11 is: 62,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,202.86 : 114,820.00 = 45,477.11 : x
  2. Step 2: Convert to fraction form
    83,202.86/114,820.00 = 45,477.11/x
  3. Step 3: Cross multiply
    83,202.86x = 114,820.00 × 45,477.11
  4. Step 4: Simplify right side
    83,202.86x = 5,221,681,082.41
  5. Step 5: Solve for x
    x = 5,221,681,082.41/83,202.86
  6. Step 6: Final answer
    x = 62,758.44

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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.