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Finding the Fourth Proportional to 246,102, 369,188.64 and 77,565.36

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Solution

The fourth proportional to 246,102, 369,188.64 and 77,565.36 is: 116,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,102 : 369,188.64 = 77,565.36 : x
  2. Step 2: Convert to fraction form
    246,102/369,188.64 = 77,565.36/x
  3. Step 3: Cross multiply
    246,102x = 369,188.64 × 77,565.36
  4. Step 4: Simplify right side
    246,102x = 28,636,249,769.51
  5. Step 5: Solve for x
    x = 28,636,249,769.51/246,102
  6. Step 6: Final answer
    x = 116,359.27

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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.