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Finding the Fourth Proportional to 267,564.93, 369,235.38 and 146,707.26

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Solution

The fourth proportional to 267,564.93, 369,235.38 and 146,707.26 is: 202,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,564.93 : 369,235.38 = 146,707.26 : x
  2. Step 2: Convert to fraction form
    267,564.93/369,235.38 = 146,707.26/x
  3. Step 3: Cross multiply
    267,564.93x = 369,235.38 × 146,707.26
  4. Step 4: Simplify right side
    267,564.93x = 54,169,510,894.86
  5. Step 5: Solve for x
    x = 54,169,510,894.86/267,564.93
  6. Step 6: Final answer
    x = 202,453.70

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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.