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Finding the Fourth Proportional to 242,406.63, 363,610.08 and 116,017.17

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Solution

The fourth proportional to 242,406.63, 363,610.08 and 116,017.17 is: 174,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,406.63 : 363,610.08 = 116,017.17 : x
  2. Step 2: Convert to fraction form
    242,406.63/363,610.08 = 116,017.17/x
  3. Step 3: Cross multiply
    242,406.63x = 363,610.08 × 116,017.17
  4. Step 4: Simplify right side
    242,406.63x = 42,185,012,465.07
  5. Step 5: Solve for x
    x = 42,185,012,465.07/242,406.63
  6. Step 6: Final answer
    x = 174,025.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.