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Finding the Fourth Proportional to 264,301.84, 364,570.62 and 156,795.75

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Solution

The fourth proportional to 264,301.84, 364,570.62 and 156,795.75 is: 216,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,301.84 : 364,570.62 = 156,795.75 : x
  2. Step 2: Convert to fraction form
    264,301.84/364,570.62 = 156,795.75/x
  3. Step 3: Cross multiply
    264,301.84x = 364,570.62 × 156,795.75
  4. Step 4: Simplify right side
    264,301.84x = 57,163,124,084.86
  5. Step 5: Solve for x
    x = 57,163,124,084.86/264,301.84
  6. Step 6: Final answer
    x = 216,279.71

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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.