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Finding the Fourth Proportional to 158,509.92, 237,796 and 58,670.98

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Solution

The fourth proportional to 158,509.92, 237,796 and 58,670.98 is: 88,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,509.92 : 237,796 = 58,670.98 : x
  2. Step 2: Convert to fraction form
    158,509.92/237,796 = 58,670.98/x
  3. Step 3: Cross multiply
    158,509.92x = 237,796 × 58,670.98
  4. Step 4: Simplify right side
    158,509.92x = 13,951,724,360.08
  5. Step 5: Solve for x
    x = 13,951,724,360.08/158,509.92
  6. Step 6: Final answer
    x = 88,017.99

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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.