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Finding the Fourth Proportional to 119,361.38, 164,714.12 and 65,643.19

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Solution

The fourth proportional to 119,361.38, 164,714.12 and 65,643.19 is: 90,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,361.38 : 164,714.12 = 65,643.19 : x
  2. Step 2: Convert to fraction form
    119,361.38/164,714.12 = 65,643.19/x
  3. Step 3: Cross multiply
    119,361.38x = 164,714.12 × 65,643.19
  4. Step 4: Simplify right side
    119,361.38x = 10,812,359,946.63
  5. Step 5: Solve for x
    x = 10,812,359,946.63/119,361.38
  6. Step 6: Final answer
    x = 90,585.08

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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.