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Finding the Fourth Proportional to 156,700.32, 216,242.64 and 89,628

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Solution

The fourth proportional to 156,700.32, 216,242.64 and 89,628 is: 123,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,700.32 : 216,242.64 = 89,628 : x
  2. Step 2: Convert to fraction form
    156,700.32/216,242.64 = 89,628/x
  3. Step 3: Cross multiply
    156,700.32x = 216,242.64 × 89,628
  4. Step 4: Simplify right side
    156,700.32x = 19,381,395,337.92
  5. Step 5: Solve for x
    x = 19,381,395,337.92/156,700.32
  6. Step 6: Final answer
    x = 123,684.47

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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.