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Finding the Fourth Proportional to 305,752.50, 458,345.84 and 116,156.03

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Solution

The fourth proportional to 305,752.50, 458,345.84 and 116,156.03 is: 174,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,752.50 : 458,345.84 = 116,156.03 : x
  2. Step 2: Convert to fraction form
    305,752.50/458,345.84 = 116,156.03/x
  3. Step 3: Cross multiply
    305,752.50x = 458,345.84 × 116,156.03
  4. Step 4: Simplify right side
    305,752.50x = 53,239,630,268.91
  5. Step 5: Solve for x
    x = 53,239,630,268.91/305,752.50
  6. Step 6: Final answer
    x = 174,126.56

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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.