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Finding the Fourth Proportional to 176,419.12, 243,479.64 and 100,966

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Solution

The fourth proportional to 176,419.12, 243,479.64 and 100,966 is: 139,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,419.12 : 243,479.64 = 100,966 : x
  2. Step 2: Convert to fraction form
    176,419.12/243,479.64 = 100,966/x
  3. Step 3: Cross multiply
    176,419.12x = 243,479.64 × 100,966
  4. Step 4: Simplify right side
    176,419.12x = 24,583,165,332.24
  5. Step 5: Solve for x
    x = 24,583,165,332.24/176,419.12
  6. Step 6: Final answer
    x = 139,345.24

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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.