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Finding the Fourth Proportional to 119,492.16, 164,893.52 and 65,776.08

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Solution

The fourth proportional to 119,492.16, 164,893.52 and 65,776.08 is: 90,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,492.16 : 164,893.52 = 65,776.08 : x
  2. Step 2: Convert to fraction form
    119,492.16/164,893.52 = 65,776.08/x
  3. Step 3: Cross multiply
    119,492.16x = 164,893.52 × 65,776.08
  4. Step 4: Simplify right side
    119,492.16x = 10,846,049,363.00
  5. Step 5: Solve for x
    x = 10,846,049,363.00/119,492.16
  6. Step 6: Final answer
    x = 90,767.87

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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.