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Finding the Fourth Proportional to 162,199.51, 223,826.04 and 96,862.07

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Solution

The fourth proportional to 162,199.51, 223,826.04 and 96,862.07 is: 133,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,199.51 : 223,826.04 = 96,862.07 : x
  2. Step 2: Convert to fraction form
    162,199.51/223,826.04 = 96,862.07/x
  3. Step 3: Cross multiply
    162,199.51x = 223,826.04 × 96,862.07
  4. Step 4: Simplify right side
    162,199.51x = 21,680,254,113.87
  5. Step 5: Solve for x
    x = 21,680,254,113.87/162,199.51
  6. Step 6: Final answer
    x = 133,664.12

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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.