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Finding the Fourth Proportional to 247,308.84, 340,946.82 and 165,605.16

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Solution

The fourth proportional to 247,308.84, 340,946.82 and 165,605.16 is: 228,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,308.84 : 340,946.82 = 165,605.16 : x
  2. Step 2: Convert to fraction form
    247,308.84/340,946.82 = 165,605.16/x
  3. Step 3: Cross multiply
    247,308.84x = 340,946.82 × 165,605.16
  4. Step 4: Simplify right side
    247,308.84x = 56,462,552,677.59
  5. Step 5: Solve for x
    x = 56,462,552,677.59/247,308.84
  6. Step 6: Final answer
    x = 228,307.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.