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Finding the Fourth Proportional to 295,167, 442,750.50 and 98,175

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Solution

The fourth proportional to 295,167, 442,750.50 and 98,175 is: 147,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,167 : 442,750.50 = 98,175 : x
  2. Step 2: Convert to fraction form
    295,167/442,750.50 = 98,175/x
  3. Step 3: Cross multiply
    295,167x = 442,750.50 × 98,175
  4. Step 4: Simplify right side
    295,167x = 43,467,030,337.50
  5. Step 5: Solve for x
    x = 43,467,030,337.50/295,167
  6. Step 6: Final answer
    x = 147,262.50

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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.