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Finding the Fourth Proportional to 342,088.56, 513,208.44 and 117,443.88

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Solution

The fourth proportional to 342,088.56, 513,208.44 and 117,443.88 is: 176,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,088.56 : 513,208.44 = 117,443.88 : x
  2. Step 2: Convert to fraction form
    342,088.56/513,208.44 = 117,443.88/x
  3. Step 3: Cross multiply
    342,088.56x = 513,208.44 × 117,443.88
  4. Step 4: Simplify right side
    342,088.56x = 60,273,190,442.35
  5. Step 5: Solve for x
    x = 60,273,190,442.35/342,088.56
  6. Step 6: Final answer
    x = 176,191.77

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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.