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Finding the Fourth Proportional to 153,238.86, 229,924.40 and 58,497.48

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Solution

The fourth proportional to 153,238.86, 229,924.40 and 58,497.48 is: 87,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,238.86 : 229,924.40 = 58,497.48 : x
  2. Step 2: Convert to fraction form
    153,238.86/229,924.40 = 58,497.48/x
  3. Step 3: Cross multiply
    153,238.86x = 229,924.40 × 58,497.48
  4. Step 4: Simplify right side
    153,238.86x = 13,449,997,698.02
  5. Step 5: Solve for x
    x = 13,449,997,698.02/153,238.86
  6. Step 6: Final answer
    x = 87,771.45

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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.