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Finding the Fourth Proportional to 157,333.83, 235,913.27 and 52,095.39

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Solution

The fourth proportional to 157,333.83, 235,913.27 and 52,095.39 is: 78,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,333.83 : 235,913.27 = 52,095.39 : x
  2. Step 2: Convert to fraction form
    157,333.83/235,913.27 = 52,095.39/x
  3. Step 3: Cross multiply
    157,333.83x = 235,913.27 × 52,095.39
  4. Step 4: Simplify right side
    157,333.83x = 12,289,993,546.35
  5. Step 5: Solve for x
    x = 12,289,993,546.35/157,333.83
  6. Step 6: Final answer
    x = 78,114.12

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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.