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Finding the Fourth Proportional to 216,455.23, 298,714.58 and 120,962.13

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Solution

The fourth proportional to 216,455.23, 298,714.58 and 120,962.13 is: 166,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,455.23 : 298,714.58 = 120,962.13 : x
  2. Step 2: Convert to fraction form
    216,455.23/298,714.58 = 120,962.13/x
  3. Step 3: Cross multiply
    216,455.23x = 298,714.58 × 120,962.13
  4. Step 4: Simplify right side
    216,455.23x = 36,133,151,858.86
  5. Step 5: Solve for x
    x = 36,133,151,858.86/216,455.23
  6. Step 6: Final answer
    x = 166,931.30

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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.