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Finding the Fourth Proportional to 158,732.58, 238,098.84 and 123,698.46

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Solution

The fourth proportional to 158,732.58, 238,098.84 and 123,698.46 is: 185,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,732.58 : 238,098.84 = 123,698.46 : x
  2. Step 2: Convert to fraction form
    158,732.58/238,098.84 = 123,698.46/x
  3. Step 3: Cross multiply
    158,732.58x = 238,098.84 × 123,698.46
  4. Step 4: Simplify right side
    158,732.58x = 29,452,459,835.79
  5. Step 5: Solve for x
    x = 29,452,459,835.79/158,732.58
  6. Step 6: Final answer
    x = 185,547.67

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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.