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Finding the Fourth Proportional to 102,098.67, 153,242.77 and 52,214.41

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Solution

The fourth proportional to 102,098.67, 153,242.77 and 52,214.41 is: 78,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,098.67 : 153,242.77 = 52,214.41 : x
  2. Step 2: Convert to fraction form
    102,098.67/153,242.77 = 52,214.41/x
  3. Step 3: Cross multiply
    102,098.67x = 153,242.77 × 52,214.41
  4. Step 4: Simplify right side
    102,098.67x = 8,001,480,822.32
  5. Step 5: Solve for x
    x = 8,001,480,822.32/102,098.67
  6. Step 6: Final answer
    x = 78,370.08

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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.