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Finding the Fourth Proportional to 156,429.64, 216,051.09 and 106,041.16

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Solution

The fourth proportional to 156,429.64, 216,051.09 and 106,041.16 is: 146,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,429.64 : 216,051.09 = 106,041.16 : x
  2. Step 2: Convert to fraction form
    156,429.64/216,051.09 = 106,041.16/x
  3. Step 3: Cross multiply
    156,429.64x = 216,051.09 × 106,041.16
  4. Step 4: Simplify right side
    156,429.64x = 22,910,308,202.86
  5. Step 5: Solve for x
    x = 22,910,308,202.86/156,429.64
  6. Step 6: Final answer
    x = 146,457.59

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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.