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Finding the Fourth Proportional to 238,698.84, 358,019.08 and 98,439.24

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Solution

The fourth proportional to 238,698.84, 358,019.08 and 98,439.24 is: 147,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,698.84 : 358,019.08 = 98,439.24 : x
  2. Step 2: Convert to fraction form
    238,698.84/358,019.08 = 98,439.24/x
  3. Step 3: Cross multiply
    238,698.84x = 358,019.08 × 98,439.24
  4. Step 4: Simplify right side
    238,698.84x = 35,243,126,140.70
  5. Step 5: Solve for x
    x = 35,243,126,140.70/238,698.84
  6. Step 6: Final answer
    x = 147,646.83

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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.