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Finding the Fourth Proportional to 202,312.30, 279,149.29 and 116,254.66

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Solution

The fourth proportional to 202,312.30, 279,149.29 and 116,254.66 is: 160,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,312.30 : 279,149.29 = 116,254.66 : x
  2. Step 2: Convert to fraction form
    202,312.30/279,149.29 = 116,254.66/x
  3. Step 3: Cross multiply
    202,312.30x = 279,149.29 × 116,254.66
  4. Step 4: Simplify right side
    202,312.30x = 32,452,405,798.19
  5. Step 5: Solve for x
    x = 32,452,405,798.19/202,312.30
  6. Step 6: Final answer
    x = 160,407.48

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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.