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Finding the Fourth Proportional to 83,339.86, 114,900.44 and 53,114.16

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Solution

The fourth proportional to 83,339.86, 114,900.44 and 53,114.16 is: 73,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,339.86 : 114,900.44 = 53,114.16 : x
  2. Step 2: Convert to fraction form
    83,339.86/114,900.44 = 53,114.16/x
  3. Step 3: Cross multiply
    83,339.86x = 114,900.44 × 53,114.16
  4. Step 4: Simplify right side
    83,339.86x = 6,102,840,354.23
  5. Step 5: Solve for x
    x = 6,102,840,354.23/83,339.86
  6. Step 6: Final answer
    x = 73,228.35

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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.