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Finding the Fourth Proportional to 342,038.56, 513,057.84 and 92,714.08

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Solution

The fourth proportional to 342,038.56, 513,057.84 and 92,714.08 is: 139,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,038.56 : 513,057.84 = 92,714.08 : x
  2. Step 2: Convert to fraction form
    342,038.56/513,057.84 = 92,714.08/x
  3. Step 3: Cross multiply
    342,038.56x = 513,057.84 × 92,714.08
  4. Step 4: Simplify right side
    342,038.56x = 47,567,685,622.39
  5. Step 5: Solve for x
    x = 47,567,685,622.39/342,038.56
  6. Step 6: Final answer
    x = 139,071.12

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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.