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Finding the Fourth Proportional to 132,042.30, 198,085.32 and 65,484.60

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Solution

The fourth proportional to 132,042.30, 198,085.32 and 65,484.60 is: 98,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,042.30 : 198,085.32 = 65,484.60 : x
  2. Step 2: Convert to fraction form
    132,042.30/198,085.32 = 65,484.60/x
  3. Step 3: Cross multiply
    132,042.30x = 198,085.32 × 65,484.60
  4. Step 4: Simplify right side
    132,042.30x = 12,971,537,946.07
  5. Step 5: Solve for x
    x = 12,971,537,946.07/132,042.30
  6. Step 6: Final answer
    x = 98,237.75

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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.