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Finding the Fourth Proportional to 158,678.99, 238,019.30 and 53,498.87

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Solution

The fourth proportional to 158,678.99, 238,019.30 and 53,498.87 is: 80,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,678.99 : 238,019.30 = 53,498.87 : x
  2. Step 2: Convert to fraction form
    158,678.99/238,019.30 = 53,498.87/x
  3. Step 3: Cross multiply
    158,678.99x = 238,019.30 × 53,498.87
  4. Step 4: Simplify right side
    158,678.99x = 12,733,763,588.19
  5. Step 5: Solve for x
    x = 12,733,763,588.19/158,678.99
  6. Step 6: Final answer
    x = 80,248.58

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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.