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Finding the Fourth Proportional to 242,686.46, 364,030.50 and 74,206.16

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Solution

The fourth proportional to 242,686.46, 364,030.50 and 74,206.16 is: 111,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,686.46 : 364,030.50 = 74,206.16 : x
  2. Step 2: Convert to fraction form
    242,686.46/364,030.50 = 74,206.16/x
  3. Step 3: Cross multiply
    242,686.46x = 364,030.50 × 74,206.16
  4. Step 4: Simplify right side
    242,686.46x = 27,013,305,527.88
  5. Step 5: Solve for x
    x = 27,013,305,527.88/242,686.46
  6. Step 6: Final answer
    x = 111,309.49

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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.