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Finding the Fourth Proportional to 119,354.59, 164,709.93 and 65,643.04

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Solution

The fourth proportional to 119,354.59, 164,709.93 and 65,643.04 is: 90,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,354.59 : 164,709.93 = 65,643.04 : x
  2. Step 2: Convert to fraction form
    119,354.59/164,709.93 = 65,643.04/x
  3. Step 3: Cross multiply
    119,354.59x = 164,709.93 × 65,643.04
  4. Step 4: Simplify right side
    119,354.59x = 10,812,060,523.39
  5. Step 5: Solve for x
    x = 10,812,060,523.39/119,354.59
  6. Step 6: Final answer
    x = 90,587.72

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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.