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Finding the Fourth Proportional to 157,322.68, 235,976.34 and 58,819

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Solution

The fourth proportional to 157,322.68, 235,976.34 and 58,819 is: 88,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,322.68 : 235,976.34 = 58,819 : x
  2. Step 2: Convert to fraction form
    157,322.68/235,976.34 = 58,819/x
  3. Step 3: Cross multiply
    157,322.68x = 235,976.34 × 58,819
  4. Step 4: Simplify right side
    157,322.68x = 13,879,892,342.46
  5. Step 5: Solve for x
    x = 13,879,892,342.46/157,322.68
  6. Step 6: Final answer
    x = 88,225.63

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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.