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Finding the Fourth Proportional to 156,652.40, 216,292.68 and 96,304

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Solution

The fourth proportional to 156,652.40, 216,292.68 and 96,304 is: 132,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,652.40 : 216,292.68 = 96,304 : x
  2. Step 2: Convert to fraction form
    156,652.40/216,292.68 = 96,304/x
  3. Step 3: Cross multiply
    156,652.40x = 216,292.68 × 96,304
  4. Step 4: Simplify right side
    156,652.40x = 20,829,850,254.72
  5. Step 5: Solve for x
    x = 20,829,850,254.72/156,652.40
  6. Step 6: Final answer
    x = 132,968.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.