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Finding the Fourth Proportional to 235,254.08, 352,682.74 and 102,034

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Solution

The fourth proportional to 235,254.08, 352,682.74 and 102,034 is: 152,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,254.08 : 352,682.74 = 102,034 : x
  2. Step 2: Convert to fraction form
    235,254.08/352,682.74 = 102,034/x
  3. Step 3: Cross multiply
    235,254.08x = 352,682.74 × 102,034
  4. Step 4: Simplify right side
    235,254.08x = 35,985,630,693.16
  5. Step 5: Solve for x
    x = 35,985,630,693.16/235,254.08
  6. Step 6: Final answer
    x = 152,964.96

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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.