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Finding the Fourth Proportional to 164,773.84, 247,072.14 and 52,423.60

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Solution

The fourth proportional to 164,773.84, 247,072.14 and 52,423.60 is: 78,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,773.84 : 247,072.14 = 52,423.60 : x
  2. Step 2: Convert to fraction form
    164,773.84/247,072.14 = 52,423.60/x
  3. Step 3: Cross multiply
    164,773.84x = 247,072.14 × 52,423.60
  4. Step 4: Simplify right side
    164,773.84x = 12,952,411,038.50
  5. Step 5: Solve for x
    x = 12,952,411,038.50/164,773.84
  6. Step 6: Final answer
    x = 78,607.21

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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.