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Finding the Fourth Proportional to 267,689.16, 369,411.57 and 146,831.45

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Solution

The fourth proportional to 267,689.16, 369,411.57 and 146,831.45 is: 202,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,689.16 : 369,411.57 = 146,831.45 : x
  2. Step 2: Convert to fraction form
    267,689.16/369,411.57 = 146,831.45/x
  3. Step 3: Cross multiply
    267,689.16x = 369,411.57 × 146,831.45
  4. Step 4: Simplify right side
    267,689.16x = 54,241,234,622.82
  5. Step 5: Solve for x
    x = 54,241,234,622.82/267,689.16
  6. Step 6: Final answer
    x = 202,627.68

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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.