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Finding the Fourth Proportional to 156,653.40, 216,294.06 and 96,305

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Solution

The fourth proportional to 156,653.40, 216,294.06 and 96,305 is: 132,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,653.40 : 216,294.06 = 96,305 : x
  2. Step 2: Convert to fraction form
    156,653.40/216,294.06 = 96,305/x
  3. Step 3: Cross multiply
    156,653.40x = 216,294.06 × 96,305
  4. Step 4: Simplify right side
    156,653.40x = 20,830,199,448.30
  5. Step 5: Solve for x
    x = 20,830,199,448.30/156,653.40
  6. Step 6: Final answer
    x = 132,969.98

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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.