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Finding the Fourth Proportional to 243,047.40, 364,571.10 and 76,835.40

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Solution

The fourth proportional to 243,047.40, 364,571.10 and 76,835.40 is: 115,253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,047.40 : 364,571.10 = 76,835.40 : x
  2. Step 2: Convert to fraction form
    243,047.40/364,571.10 = 76,835.40/x
  3. Step 3: Cross multiply
    243,047.40x = 364,571.10 × 76,835.40
  4. Step 4: Simplify right side
    243,047.40x = 28,011,966,296.94
  5. Step 5: Solve for x
    x = 28,011,966,296.94/243,047.40
  6. Step 6: Final answer
    x = 115,253.10

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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.