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Finding the Fourth Proportional to 264,255.84, 364,554 and 156,830.40

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Solution

The fourth proportional to 264,255.84, 364,554 and 156,830.40 is: 216,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,255.84 : 364,554 = 156,830.40 : x
  2. Step 2: Convert to fraction form
    264,255.84/364,554 = 156,830.40/x
  3. Step 3: Cross multiply
    264,255.84x = 364,554 × 156,830.40
  4. Step 4: Simplify right side
    264,255.84x = 57,173,149,641.60
  5. Step 5: Solve for x
    x = 57,173,149,641.60/264,255.84
  6. Step 6: Final answer
    x = 216,355.29

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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.