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Finding the Fourth Proportional to 226,283.16, 339,468.48 and 76,547.80

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Solution

The fourth proportional to 226,283.16, 339,468.48 and 76,547.80 is: 114,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,283.16 : 339,468.48 = 76,547.80 : x
  2. Step 2: Convert to fraction form
    226,283.16/339,468.48 = 76,547.80/x
  3. Step 3: Cross multiply
    226,283.16x = 339,468.48 × 76,547.80
  4. Step 4: Simplify right side
    226,283.16x = 25,985,565,313.34
  5. Step 5: Solve for x
    x = 25,985,565,313.34/226,283.16
  6. Step 6: Final answer
    x = 114,836.50

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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.