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Finding the Fourth Proportional to 242,886.16, 364,330.14 and 74,405.80

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Solution

The fourth proportional to 242,886.16, 364,330.14 and 74,405.80 is: 111,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,886.16 : 364,330.14 = 74,405.80 : x
  2. Step 2: Convert to fraction form
    242,886.16/364,330.14 = 74,405.80/x
  3. Step 3: Cross multiply
    242,886.16x = 364,330.14 × 74,405.80
  4. Step 4: Simplify right side
    242,886.16x = 27,108,275,530.81
  5. Step 5: Solve for x
    x = 27,108,275,530.81/242,886.16
  6. Step 6: Final answer
    x = 111,608.98

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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.