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Finding the Fourth Proportional to 242,812.80, 364,089.60 and 102,412.80

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Solution

The fourth proportional to 242,812.80, 364,089.60 and 102,412.80 is: 153,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,812.80 : 364,089.60 = 102,412.80 : x
  2. Step 2: Convert to fraction form
    242,812.80/364,089.60 = 102,412.80/x
  3. Step 3: Cross multiply
    242,812.80x = 364,089.60 × 102,412.80
  4. Step 4: Simplify right side
    242,812.80x = 37,287,435,386.88
  5. Step 5: Solve for x
    x = 37,287,435,386.88/242,812.80
  6. Step 6: Final answer
    x = 153,564.54

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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.