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Finding the Fourth Proportional to 156,648.40, 216,287.16 and 96,300

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Solution

The fourth proportional to 156,648.40, 216,287.16 and 96,300 is: 132,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,648.40 : 216,287.16 = 96,300 : x
  2. Step 2: Convert to fraction form
    156,648.40/216,287.16 = 96,300/x
  3. Step 3: Cross multiply
    156,648.40x = 216,287.16 × 96,300
  4. Step 4: Simplify right side
    156,648.40x = 20,828,453,508
  5. Step 5: Solve for x
    x = 20,828,453,508/156,648.40
  6. Step 6: Final answer
    x = 132,963.08

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